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Finding the Third Proportional to 10,593 and 24,624

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Solution

The third proportional to 10,593 and 24,624 is: 57,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593 : 24,624 = 24,624 : x
  2. Step 2: Convert to fraction form
    10,593/24,624 = 24,624/x
  3. Step 3: Cross multiply
    10,593x = 24,624 × 24,624
  4. Step 4: Simplify right side
    10,593x = 606,341,376
  5. Step 5: Solve for x
    x = 606,341,376/10,593
  6. Step 6: Final answer
    x = 57,239.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.