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Three numbers, of which the third is equal to 12, form a geometric progression. If 12 is replaced with 9, then the three numbers form an arithmetic progression. Find these three numbers.

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Answer:

Three numbers form a geometric sequence. If 5 is added to the second term, then the resulting numbers will constitute an arithmetic sequence. If 22.5 is added to the third number, these numbers will again form a geometric sequence. Find the original numbers.

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