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Finding the Third Proportional to 8,272 and 13,624

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Solution

The third proportional to 8,272 and 13,624 is: 22,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272 : 13,624 = 13,624 : x
  2. Step 2: Convert to fraction form
    8,272/13,624 = 13,624/x
  3. Step 3: Cross multiply
    8,272x = 13,624 × 13,624
  4. Step 4: Simplify right side
    8,272x = 185,613,376
  5. Step 5: Solve for x
    x = 185,613,376/8,272
  6. Step 6: Final answer
    x = 22,438.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.