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Maharashtra State BoardSSC (English Medium) 9th Standard

A, b, c are in continued proportion. If a = 3 and c = 27 then find b. - Algebra

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Question

a, b, c are in continued proportion. If a = 3 and c = 27 then find b.

Sum

Solution

It is given that 3, b, 27 are in continued proportion.

`therefore 3/b = b/27`

⇒ `b^2 = 3 xx 27`

⇒ `b^2 = 81`

⇒ `b = sqrt81 = 9`

Thus, the value of b is 9.

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Chapter 4: Ratio and Proportion - Problem Set 4 [Page 78]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Problem Set 4 | Q (5) | Page 78
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