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Finding the Third Proportional to 24,507.56 and 37,687.78

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Solution

The third proportional to 24,507.56 and 37,687.78 is: 57,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.56 : 37,687.78 = 37,687.78 : x
  2. Step 2: Convert to fraction form
    24,507.56/37,687.78 = 37,687.78/x
  3. Step 3: Cross multiply
    24,507.56x = 37,687.78 × 37,687.78
  4. Step 4: Simplify right side
    24,507.56x = 1,420,368,855.55
  5. Step 5: Solve for x
    x = 1,420,368,855.55/24,507.56
  6. Step 6: Final answer
    x = 57,956.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.