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Finding the Third Proportional to 18,200.75 and 24,474

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Solution

The third proportional to 18,200.75 and 24,474 is: 32,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.75 : 24,474 = 24,474 : x
  2. Step 2: Convert to fraction form
    18,200.75/24,474 = 24,474/x
  3. Step 3: Cross multiply
    18,200.75x = 24,474 × 24,474
  4. Step 4: Simplify right side
    18,200.75x = 598,976,676
  5. Step 5: Solve for x
    x = 598,976,676/18,200.75
  6. Step 6: Final answer
    x = 32,909.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.