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Finding the Third Proportional to 29,737.13 and 43,489.31

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Solution

The third proportional to 29,737.13 and 43,489.31 is: 63,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737.13 : 43,489.31 = 43,489.31 : x
  2. Step 2: Convert to fraction form
    29,737.13/43,489.31 = 43,489.31/x
  3. Step 3: Cross multiply
    29,737.13x = 43,489.31 × 43,489.31
  4. Step 4: Simplify right side
    29,737.13x = 1,891,320,301.72
  5. Step 5: Solve for x
    x = 1,891,320,301.72/29,737.13
  6. Step 6: Final answer
    x = 63,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.