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Finding the Third Proportional to 41,074 and 59,696

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Solution

The third proportional to 41,074 and 59,696 is: 86,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,074 : 59,696 = 59,696 : x
  2. Step 2: Convert to fraction form
    41,074/59,696 = 59,696/x
  3. Step 3: Cross multiply
    41,074x = 59,696 × 59,696
  4. Step 4: Simplify right side
    41,074x = 3,563,612,416
  5. Step 5: Solve for x
    x = 3,563,612,416/41,074
  6. Step 6: Final answer
    x = 86,760.78

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.