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Finding the Third Proportional to 38,500.31 and 59,140.13

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Solution

The third proportional to 38,500.31 and 59,140.13 is: 90,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500.31 : 59,140.13 = 59,140.13 : x
  2. Step 2: Convert to fraction form
    38,500.31/59,140.13 = 59,140.13/x
  3. Step 3: Cross multiply
    38,500.31x = 59,140.13 × 59,140.13
  4. Step 4: Simplify right side
    38,500.31x = 3,497,554,385.02
  5. Step 5: Solve for x
    x = 3,497,554,385.02/38,500.31
  6. Step 6: Final answer
    x = 90,844.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.