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Finding the Third Proportional to 18,144.75 and 24,625.13

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Solution

The third proportional to 18,144.75 and 24,625.13 is: 33,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.75 : 24,625.13 = 24,625.13 : x
  2. Step 2: Convert to fraction form
    18,144.75/24,625.13 = 24,625.13/x
  3. Step 3: Cross multiply
    18,144.75x = 24,625.13 × 24,625.13
  4. Step 4: Simplify right side
    18,144.75x = 606,396,781.27
  5. Step 5: Solve for x
    x = 606,396,781.27/18,144.75
  6. Step 6: Final answer
    x = 33,419.96

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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.