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Finding the Third Proportional to 41,082 and 62,391

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Solution

The third proportional to 41,082 and 62,391 is: 94,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 62,391 = 62,391 : x
  2. Step 2: Convert to fraction form
    41,082/62,391 = 62,391/x
  3. Step 3: Cross multiply
    41,082x = 62,391 × 62,391
  4. Step 4: Simplify right side
    41,082x = 3,892,636,881
  5. Step 5: Solve for x
    x = 3,892,636,881/41,082
  6. Step 6: Final answer
    x = 94,752.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.