Are the ratio from a proportion . also write the middle terms and extreme terms . 40 persons : 200 persons and rs 15 and rs 75​

1 thought on “Are the ratio from a proportion . also write the middle terms and extreme terms . 40 persons : 200 persons and rs 15 and rs 75​”

1. Answer :–

   • The given ratios form a proportion.

   • Means = 200 persons and Rs 15.
   • Extremes = 40 persons and Rs 75.

   What to do?

   • Find out whether 40 persons and 200 persons is proportional to Rs 15 and Rs 75.

   • Write the middle terms and extreme terms.

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   Step-by-step explanation :–

   • We know that in a proportion, the product of means is equal to the product of extremes.

   Here,

   • Means = 200 and 15.
   • Extremes = 40 and 75.

   Hence,

   [tex] \boxed{\sf Product \: of \: means = 200 \times 15 = 3000}[/tex]

   [tex] \boxed{ \sf Product \: of \: extremes =40 \times 75 = 3000}[/tex]

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   Observation :–

   • We see that the product of means is equal to the product of extremes.

   • Hence, the given ratios form a proportion.

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   Know more :–

   What is a ratio?

   • A ratio is a comparison of two or more quantities of the same kind. Ratio doesn’t exist between quantities of different kinds.

   What is a proportion?

   • When two ratios have equal value, we say that they are in proportion.

   What are extreme terms?

   • First and fourth terms of a proportion are called extreme terms.

   What are mean terms?

   • Second and third terms of a proportion are called mean terms.

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