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Finding the Third Proportional to 41,018 and 62,727

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Solution

The third proportional to 41,018 and 62,727 is: 95,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,018 : 62,727 = 62,727 : x
  2. Step 2: Convert to fraction form
    41,018/62,727 = 62,727/x
  3. Step 3: Cross multiply
    41,018x = 62,727 × 62,727
  4. Step 4: Simplify right side
    41,018x = 3,934,676,529
  5. Step 5: Solve for x
    x = 3,934,676,529/41,018
  6. Step 6: Final answer
    x = 95,925.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.