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Finding the Third Proportional to 8,381.25 and 17,451.38

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Solution

The third proportional to 8,381.25 and 17,451.38 is: 36,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.25 : 17,451.38 = 17,451.38 : x
  2. Step 2: Convert to fraction form
    8,381.25/17,451.38 = 17,451.38/x
  3. Step 3: Cross multiply
    8,381.25x = 17,451.38 × 17,451.38
  4. Step 4: Simplify right side
    8,381.25x = 304,550,489.39
  5. Step 5: Solve for x
    x = 304,550,489.39/8,381.25
  6. Step 6: Final answer
    x = 36,337.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.