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Finding the Third Proportional to 40,129.13 and 59,616

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Solution

The third proportional to 40,129.13 and 59,616 is: 88,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,129.13 : 59,616 = 59,616 : x
  2. Step 2: Convert to fraction form
    40,129.13/59,616 = 59,616/x
  3. Step 3: Cross multiply
    40,129.13x = 59,616 × 59,616
  4. Step 4: Simplify right side
    40,129.13x = 3,554,067,456
  5. Step 5: Solve for x
    x = 3,554,067,456/40,129.13
  6. Step 6: Final answer
    x = 88,565.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.