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Finding the Third Proportional to 20,498 and 29,624

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Solution

The third proportional to 20,498 and 29,624 is: 42,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 29,624 = 29,624 : x
  2. Step 2: Convert to fraction form
    20,498/29,624 = 29,624/x
  3. Step 3: Cross multiply
    20,498x = 29,624 × 29,624
  4. Step 4: Simplify right side
    20,498x = 877,581,376
  5. Step 5: Solve for x
    x = 877,581,376/20,498
  6. Step 6: Final answer
    x = 42,813.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.