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Finding the Third Proportional to 41,488 and 62,339

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Solution

The third proportional to 41,488 and 62,339 is: 93,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488 : 62,339 = 62,339 : x
  2. Step 2: Convert to fraction form
    41,488/62,339 = 62,339/x
  3. Step 3: Cross multiply
    41,488x = 62,339 × 62,339
  4. Step 4: Simplify right side
    41,488x = 3,886,150,921
  5. Step 5: Solve for x
    x = 3,886,150,921/41,488
  6. Step 6: Final answer
    x = 93,669.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.