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Question
Show that 2, 12 and 72 are in continued proportion.
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Solution
Three numbers a, b and c are in continued
proportion if, a : b : : b : c
The numbers are 2, 12 and 72
`"a"/"b" = 2/12 = 1/6`
`"b"/"c" = 12/72 = 1/6`
As, `"a"/"b" = "b"/"c"`
∴ 2, 12 and 72 are in continued proportion.
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