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Finding the Third Proportional to 3,785 and 5,874

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Solution

The third proportional to 3,785 and 5,874 is: 9,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785 : 5,874 = 5,874 : x
  2. Step 2: Convert to fraction form
    3,785/5,874 = 5,874/x
  3. Step 3: Cross multiply
    3,785x = 5,874 × 5,874
  4. Step 4: Simplify right side
    3,785x = 34,503,876
  5. Step 5: Solve for x
    x = 34,503,876/3,785
  6. Step 6: Final answer
    x = 9,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.