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Finding the Third Proportional to 43,689 and 69,287.25

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Solution

The third proportional to 43,689 and 69,287.25 is: 109,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,689 : 69,287.25 = 69,287.25 : x
  2. Step 2: Convert to fraction form
    43,689/69,287.25 = 69,287.25/x
  3. Step 3: Cross multiply
    43,689x = 69,287.25 × 69,287.25
  4. Step 4: Simplify right side
    43,689x = 4,800,723,012.56
  5. Step 5: Solve for x
    x = 4,800,723,012.56/43,689
  6. Step 6: Final answer
    x = 109,884.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.