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Finding the Third Proportional to 43,596 and 67,626

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Solution

The third proportional to 43,596 and 67,626 is: 104,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,596 : 67,626 = 67,626 : x
  2. Step 2: Convert to fraction form
    43,596/67,626 = 67,626/x
  3. Step 3: Cross multiply
    43,596x = 67,626 × 67,626
  4. Step 4: Simplify right side
    43,596x = 4,573,275,876
  5. Step 5: Solve for x
    x = 4,573,275,876/43,596
  6. Step 6: Final answer
    x = 104,901.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.