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Mathematics

Find the compound ratio of 2 : 3, 9 : 14 and 14 : 27.

Ratio Proportion

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Answer

Compound ratio of 2 : 3, 9 : 14 and 14 : 27,

=23×914×1427=2521134=29=2:9.= \dfrac{2}{3} \times \dfrac{9}{14} \times \dfrac{14}{27} \\[1em] = \dfrac{252}{1134} \\[1em] = \dfrac{2}{9} = 2 : 9.

Hence, compound ratio of 2 : 3, 9 : 14 and 14 : 27 is 2 : 9.

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