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If three quantities are in continued proportion, prove that the ratio of the first to third is the duplicate ratio of the first to the second.

Asked by Topperlearning User 14th September 2017, 9:48 AM
Answered by Expert
Answer:

Let space the space three space quantities space in space continued space proportion space be space straight x comma space straight y space and space straight z.
therefore space straight x over straight y equals straight y over straight z
Now comma space straight x over straight z equals straight x over straight y cross times straight y over straight z equals straight x over straight y cross times straight x over straight y equals straight x squared over straight y squared
Hence comma space Ratio space of space 1 st space to space 3 rd equals Duplicate space ratio space of space 1 st space to space 2 nd

Answered by Expert 14th September 2017, 11:48 AM
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