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Question
If p : q = r : s; then show that: mp + nq : q = mr + ns : s.
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Solution
`"p"/"q" = "r"/"s"`
`=> "mp"/"q" = ("mr")/"s"`
`=> ("mp")/"q" + "n" = ("mr")/"s" + "n"`
`=> ("mp" + "nq")/"q" = ("mr" + "ns")/"s"`
Hence, mp + nq : q = mr + ns : s
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