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Finding the Third Proportional to 41,648 and 62,404

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Solution

The third proportional to 41,648 and 62,404 is: 93,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648 : 62,404 = 62,404 : x
  2. Step 2: Convert to fraction form
    41,648/62,404 = 62,404/x
  3. Step 3: Cross multiply
    41,648x = 62,404 × 62,404
  4. Step 4: Simplify right side
    41,648x = 3,894,259,216
  5. Step 5: Solve for x
    x = 3,894,259,216/41,648
  6. Step 6: Final answer
    x = 93,504.11

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