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Finding the Third Proportional to 41,624 and 62,436

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Solution

The third proportional to 41,624 and 62,436 is: 93,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,624 : 62,436 = 62,436 : x
  2. Step 2: Convert to fraction form
    41,624/62,436 = 62,436/x
  3. Step 3: Cross multiply
    41,624x = 62,436 × 62,436
  4. Step 4: Simplify right side
    41,624x = 3,898,254,096
  5. Step 5: Solve for x
    x = 3,898,254,096/41,624
  6. Step 6: Final answer
    x = 93,654

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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.