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Finding the Third Proportional to 8,469 and 20,397

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Solution

The third proportional to 8,469 and 20,397 is: 49,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 20,397 = 20,397 : x
  2. Step 2: Convert to fraction form
    8,469/20,397 = 20,397/x
  3. Step 3: Cross multiply
    8,469x = 20,397 × 20,397
  4. Step 4: Simplify right side
    8,469x = 416,037,609
  5. Step 5: Solve for x
    x = 416,037,609/8,469
  6. Step 6: Final answer
    x = 49,124.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.