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Finding the Third Proportional to 3,874 and 5,038

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Solution

The third proportional to 3,874 and 5,038 is: 6,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,038 = 5,038 : x
  2. Step 2: Convert to fraction form
    3,874/5,038 = 5,038/x
  3. Step 3: Cross multiply
    3,874x = 5,038 × 5,038
  4. Step 4: Simplify right side
    3,874x = 25,381,444
  5. Step 5: Solve for x
    x = 25,381,444/3,874
  6. Step 6: Final answer
    x = 6,551.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.