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Finding the Third Proportional to 40,524 and 60,624

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Solution

The third proportional to 40,524 and 60,624 is: 90,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 60,624 = 60,624 : x
  2. Step 2: Convert to fraction form
    40,524/60,624 = 60,624/x
  3. Step 3: Cross multiply
    40,524x = 60,624 × 60,624
  4. Step 4: Simplify right side
    40,524x = 3,675,269,376
  5. Step 5: Solve for x
    x = 3,675,269,376/40,524
  6. Step 6: Final answer
    x = 90,693.65

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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.