Q. You won't reach to . . . . . . . . back of . . . . . . . . auditorium; so we'll have to use . . . . . . . . amplifier.
The first and second blank shall take 'the' as the sentence talks about a particular location at a particular 'auditorium'. The third blank shall take 'an' as 'amplifier' is a singular countable noun and starts with the vowel 'a'.
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