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Finding the Third Proportional to 31,609.13 and 67,866.75

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Solution

The third proportional to 31,609.13 and 67,866.75 is: 145,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.13 : 67,866.75 = 67,866.75 : x
  2. Step 2: Convert to fraction form
    31,609.13/67,866.75 = 67,866.75/x
  3. Step 3: Cross multiply
    31,609.13x = 67,866.75 × 67,866.75
  4. Step 4: Simplify right side
    31,609.13x = 4,605,895,755.56
  5. Step 5: Solve for x
    x = 4,605,895,755.56/31,609.13
  6. Step 6: Final answer
    x = 145,714.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.