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Finding the Third Proportional to 41,663.25 and 89,874

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Solution

The third proportional to 41,663.25 and 89,874 is: 193,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663.25 : 89,874 = 89,874 : x
  2. Step 2: Convert to fraction form
    41,663.25/89,874 = 89,874/x
  3. Step 3: Cross multiply
    41,663.25x = 89,874 × 89,874
  4. Step 4: Simplify right side
    41,663.25x = 8,077,335,876
  5. Step 5: Solve for x
    x = 8,077,335,876/41,663.25
  6. Step 6: Final answer
    x = 193,871.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.