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Finding the Third Proportional to 41,689.69 and 66,847.78

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Solution

The third proportional to 41,689.69 and 66,847.78 is: 107,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.69 : 66,847.78 = 66,847.78 : x
  2. Step 2: Convert to fraction form
    41,689.69/66,847.78 = 66,847.78/x
  3. Step 3: Cross multiply
    41,689.69x = 66,847.78 × 66,847.78
  4. Step 4: Simplify right side
    41,689.69x = 4,468,625,858.05
  5. Step 5: Solve for x
    x = 4,468,625,858.05/41,689.69
  6. Step 6: Final answer
    x = 107,187.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.