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Finding the Third Proportional to 8,325 and 17,874

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Solution

The third proportional to 8,325 and 17,874 is: 38,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325 : 17,874 = 17,874 : x
  2. Step 2: Convert to fraction form
    8,325/17,874 = 17,874/x
  3. Step 3: Cross multiply
    8,325x = 17,874 × 17,874
  4. Step 4: Simplify right side
    8,325x = 319,479,876
  5. Step 5: Solve for x
    x = 319,479,876/8,325
  6. Step 6: Final answer
    x = 38,375.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.