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Finding the Third Proportional to 39,488 and 62,517

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Solution

The third proportional to 39,488 and 62,517 is: 98,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,488 : 62,517 = 62,517 : x
  2. Step 2: Convert to fraction form
    39,488/62,517 = 62,517/x
  3. Step 3: Cross multiply
    39,488x = 62,517 × 62,517
  4. Step 4: Simplify right side
    39,488x = 3,908,375,289
  5. Step 5: Solve for x
    x = 3,908,375,289/39,488
  6. Step 6: Final answer
    x = 98,976.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.