
der Rang
rank
A position or level within a hierarchy, for example in the military, at work, or in society.
Er wurde für seine Verdienste in einen höheren Rang befördert.
He was promoted to a higher rank for his services.
rank
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rank
A position or level within a hierarchy, for example in the military, at work, or in society.
Er wurde für seine Verdienste in einen höheren Rang befördert.
He was promoted to a higher rank for his services.

balcony / tier
A raised, often semicircular level with seats for spectators in a theater or concert hall.
Von unserem Platz im ersten Rang hatten wir eine fantastische Sicht auf die Bühne.
From our seat in the first balcony, we had a fantastic view of the stage.

standing / caliber
The importance, value, or high quality of a person or thing.
Sie ist eine Wissenschaftlerin von internationalem Rang.
She is a scientist of international standing.

to outstrip someone
To surpass someone in popularity, success, or performance.
Das neue Smartphone läuft seinem Vorgänger bald den Rang ab.
The new smartphone will soon outstrip its predecessor.
In this meaning, you often find 'Rang' (rank) in the context of the military, police, nobility, or hierarchies in companies. Typical verbs are 'einen Rang bekleiden' (to hold a rank) or 'im Rang aufsteigen' (to rise in rank).
Nach seiner Ausbildung erhielt er den Rang eines Leutnants.
After his training, he received the rank of lieutenant.
In connection with theaters, operas, or concert halls, 'Rang' (balcony/tier) refers to a level with seats. An ordinal number is usually used, e.g. 'im ersten Rang' (in the first balcony).
Unsere Plätze sind im zweiten Rang, Reihe drei.
Our seats are in the second balcony, row three.
To express high quality or importance, the fixed phrase 'von ... Rang' is used. Between 'von' and 'Rang', there is often an adjective such as 'international' or 'hohem'.
Das Museum besitzt eine Sammlung von Weltrang.
The museum has a world-class collection.
In the idiom 'jemandem den Rang ablaufen' (to outstrip someone), the person or thing being surpassed is always in the dative.
Die junge Sportlerin läuft der erfahrenen Meisterin langsam den Rang ab.
The young athlete is slowly outstripping the experienced champion.
place / space
Der Platz and der Rang can both express a position in an order. Platz specifically names the position achieved, such as first or third place; Rang tends to emphasize the level within a hierarchy. For competition results, Platz is usually the natural choice; Rang sounds more general or formal.

Mara erreichte in der Rangliste den dritten Rang.
Mara achieved third place in the rankings.
Mara belegte bei dem Rennen den dritten Platz.
Mara came in third in the race.