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Finding the Third Proportional to 41,668 and 55,662

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Solution

The third proportional to 41,668 and 55,662 is: 74,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,668 : 55,662 = 55,662 : x
  2. Step 2: Convert to fraction form
    41,668/55,662 = 55,662/x
  3. Step 3: Cross multiply
    41,668x = 55,662 × 55,662
  4. Step 4: Simplify right side
    41,668x = 3,098,258,244
  5. Step 5: Solve for x
    x = 3,098,258,244/41,668
  6. Step 6: Final answer
    x = 74,355.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.