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Finding the Third Proportional to 3,839 and 4,493

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Solution

The third proportional to 3,839 and 4,493 is: 5,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839 : 4,493 = 4,493 : x
  2. Step 2: Convert to fraction form
    3,839/4,493 = 4,493/x
  3. Step 3: Cross multiply
    3,839x = 4,493 × 4,493
  4. Step 4: Simplify right side
    3,839x = 20,187,049
  5. Step 5: Solve for x
    x = 20,187,049/3,839
  6. Step 6: Final answer
    x = 5,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.