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Finding the Third Proportional to 41,403.50 and 89,809

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Solution

The third proportional to 41,403.50 and 89,809 is: 194,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,403.50 : 89,809 = 89,809 : x
  2. Step 2: Convert to fraction form
    41,403.50/89,809 = 89,809/x
  3. Step 3: Cross multiply
    41,403.50x = 89,809 × 89,809
  4. Step 4: Simplify right side
    41,403.50x = 8,065,656,481
  5. Step 5: Solve for x
    x = 8,065,656,481/41,403.50
  6. Step 6: Final answer
    x = 194,806.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.