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Finding the Third Proportional to 41,073.75 and 89,589.38

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Solution

The third proportional to 41,073.75 and 89,589.38 is: 195,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,073.75 : 89,589.38 = 89,589.38 : x
  2. Step 2: Convert to fraction form
    41,073.75/89,589.38 = 89,589.38/x
  3. Step 3: Cross multiply
    41,073.75x = 89,589.38 × 89,589.38
  4. Step 4: Simplify right side
    41,073.75x = 8,026,256,112.89
  5. Step 5: Solve for x
    x = 8,026,256,112.89/41,073.75
  6. Step 6: Final answer
    x = 195,410.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.