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Finding the Third Proportional to 41,930 and 59,615

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Solution

The third proportional to 41,930 and 59,615 is: 84,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930 : 59,615 = 59,615 : x
  2. Step 2: Convert to fraction form
    41,930/59,615 = 59,615/x
  3. Step 3: Cross multiply
    41,930x = 59,615 × 59,615
  4. Step 4: Simplify right side
    41,930x = 3,553,948,225
  5. Step 5: Solve for x
    x = 3,553,948,225/41,930
  6. Step 6: Final answer
    x = 84,759.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.