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Finding the Third Proportional to 24,689 and 40,112

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Solution

The third proportional to 24,689 and 40,112 is: 65,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689 : 40,112 = 40,112 : x
  2. Step 2: Convert to fraction form
    24,689/40,112 = 40,112/x
  3. Step 3: Cross multiply
    24,689x = 40,112 × 40,112
  4. Step 4: Simplify right side
    24,689x = 1,608,972,544
  5. Step 5: Solve for x
    x = 1,608,972,544/24,689
  6. Step 6: Final answer
    x = 65,169.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.