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Finding the Third Proportional to 14,038 and 30,542

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Solution

The third proportional to 14,038 and 30,542 is: 66,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 30,542 = 30,542 : x
  2. Step 2: Convert to fraction form
    14,038/30,542 = 30,542/x
  3. Step 3: Cross multiply
    14,038x = 30,542 × 30,542
  4. Step 4: Simplify right side
    14,038x = 932,813,764
  5. Step 5: Solve for x
    x = 932,813,764/14,038
  6. Step 6: Final answer
    x = 66,449.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.