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Finding the Third Proportional to 22,864.78 and 34,737.61

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Solution

The third proportional to 22,864.78 and 34,737.61 is: 52,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.78 : 34,737.61 = 34,737.61 : x
  2. Step 2: Convert to fraction form
    22,864.78/34,737.61 = 34,737.61/x
  3. Step 3: Cross multiply
    22,864.78x = 34,737.61 × 34,737.61
  4. Step 4: Simplify right side
    22,864.78x = 1,206,701,505.09
  5. Step 5: Solve for x
    x = 1,206,701,505.09/22,864.78
  6. Step 6: Final answer
    x = 52,775.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.