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Show that the following numbers are in continued proportion: 36, 90, 225 - Mathematics

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Question

Show that the following numbers are in continued proportion:

36, 90, 225

Sum

Solution

36:90, 90:225
Product of means = 90 × 90 = 8100
Product of extremes = 36 × 225 = 8100
Product of means = Product of extremes
Hence, 36:90::90:225 are in continued proportion.

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Chapter 10: Ratio, Proportion and Unitary Method - Exercise 10B [Page 155]

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RS Aggarwal Mathematics [English] Class 6
Chapter 10 Ratio, Proportion and Unitary Method
Exercise 10B | Q 8.2 | Page 155

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