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Finding the Third Proportional to 24,489.84 and 37,691.58

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Solution

The third proportional to 24,489.84 and 37,691.58 is: 58,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.84 : 37,691.58 = 37,691.58 : x
  2. Step 2: Convert to fraction form
    24,489.84/37,691.58 = 37,691.58/x
  3. Step 3: Cross multiply
    24,489.84x = 37,691.58 × 37,691.58
  4. Step 4: Simplify right side
    24,489.84x = 1,420,655,061.55
  5. Step 5: Solve for x
    x = 1,420,655,061.55/24,489.84
  6. Step 6: Final answer
    x = 58,009.97

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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.