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Finding the Third Proportional to 11,331.38 and 24,545.63

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Solution

The third proportional to 11,331.38 and 24,545.63 is: 53,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.38 : 24,545.63 = 24,545.63 : x
  2. Step 2: Convert to fraction form
    11,331.38/24,545.63 = 24,545.63/x
  3. Step 3: Cross multiply
    11,331.38x = 24,545.63 × 24,545.63
  4. Step 4: Simplify right side
    11,331.38x = 602,487,706.64
  5. Step 5: Solve for x
    x = 602,487,706.64/11,331.38
  6. Step 6: Final answer
    x = 53,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.