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Finding the Third Proportional to 41,510.29 and 89,581.57

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Solution

The third proportional to 41,510.29 and 89,581.57 is: 193,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,510.29 : 89,581.57 = 89,581.57 : x
  2. Step 2: Convert to fraction form
    41,510.29/89,581.57 = 89,581.57/x
  3. Step 3: Cross multiply
    41,510.29x = 89,581.57 × 89,581.57
  4. Step 4: Simplify right side
    41,510.29x = 8,024,857,739.65
  5. Step 5: Solve for x
    x = 8,024,857,739.65/41,510.29
  6. Step 6: Final answer
    x = 193,322.15

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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.