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If 3, 6, 12 and b are in continued proportion, then what is the value of b?
Question

If 3, 6, 12 and b are in continued proportion, then what is the value of b?

A.

b = 2

B.

b = 24

C.

b = 4

D.

b = 12

Correct option is B

Given:

3, 6, 12 and b are in continued proportion
Concept Used:
If a, b, c, and d are in proportion then 
a:b::c:d ab=cda : b :: c : d \implies \frac{a}{b} = \frac{c}{d}
Solution:
3:6::12:b36=12x 3x=12×6b=243 : 6:: 12 : b\\ \rightarrow \frac{3}{6} = \frac{12}{x} \\ \ \\ 3x = 12 \times 6 \\ b = 24

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