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Finding the Third Proportional to 16,635.38 and 24,463.69

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Solution

The third proportional to 16,635.38 and 24,463.69 is: 35,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.38 : 24,463.69 = 24,463.69 : x
  2. Step 2: Convert to fraction form
    16,635.38/24,463.69 = 24,463.69/x
  3. Step 3: Cross multiply
    16,635.38x = 24,463.69 × 24,463.69
  4. Step 4: Simplify right side
    16,635.38x = 598,472,006.10
  5. Step 5: Solve for x
    x = 598,472,006.10/16,635.38
  6. Step 6: Final answer
    x = 35,975.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.