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Finding the Third Proportional to 41,659 and 59,371

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Solution

The third proportional to 41,659 and 59,371 is: 84,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659 : 59,371 = 59,371 : x
  2. Step 2: Convert to fraction form
    41,659/59,371 = 59,371/x
  3. Step 3: Cross multiply
    41,659x = 59,371 × 59,371
  4. Step 4: Simplify right side
    41,659x = 3,524,915,641
  5. Step 5: Solve for x
    x = 3,524,915,641/41,659
  6. Step 6: Final answer
    x = 84,613.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.