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Finding the Third Proportional to 24,750 and 33,624

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Solution

The third proportional to 24,750 and 33,624 is: 45,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 33,624 = 33,624 : x
  2. Step 2: Convert to fraction form
    24,750/33,624 = 33,624/x
  3. Step 3: Cross multiply
    24,750x = 33,624 × 33,624
  4. Step 4: Simplify right side
    24,750x = 1,130,573,376
  5. Step 5: Solve for x
    x = 1,130,573,376/24,750
  6. Step 6: Final answer
    x = 45,679.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.