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Finding the Third Proportional to 38,869.13 and 58,291.13

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Solution

The third proportional to 38,869.13 and 58,291.13 is: 87,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869.13 : 58,291.13 = 58,291.13 : x
  2. Step 2: Convert to fraction form
    38,869.13/58,291.13 = 58,291.13/x
  3. Step 3: Cross multiply
    38,869.13x = 58,291.13 × 58,291.13
  4. Step 4: Simplify right side
    38,869.13x = 3,397,855,253.77
  5. Step 5: Solve for x
    x = 3,397,855,253.77/38,869.13
  6. Step 6: Final answer
    x = 87,417.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.