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Knowing that the sum of three numbers (a, b and c) is equal to 54 and they are directly proportional to 3, 5 and 7, calculate these three numbers.

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Answer to a math question Knowing that the sum of three numbers (a, b and c) is equal to 54 and they are directly proportional to 3, 5 and 7, calculate these three numbers.

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1. Relacionamos os números a, b e c a uma constante de proporcionalidade k:
a = 3k,
b = 5k,
c = 7k.

2. Utilizamos a soma dos números para encontrar k:
3k + 5k + 7k = 54,
15k = 54,
k = 3.6.

3. Calculamos os valores dos números:
a = 3k = 10.8,
b = 5k = 18,
c = 7k = 25.2.

Portanto, os valores são:
a = 10.8, b = 18, c = 25.2.

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