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Finding the Third Proportional to 32,472 and 69,874

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Solution

The third proportional to 32,472 and 69,874 is: 150,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472 : 69,874 = 69,874 : x
  2. Step 2: Convert to fraction form
    32,472/69,874 = 69,874/x
  3. Step 3: Cross multiply
    32,472x = 69,874 × 69,874
  4. Step 4: Simplify right side
    32,472x = 4,882,375,876
  5. Step 5: Solve for x
    x = 4,882,375,876/32,472
  6. Step 6: Final answer
    x = 150,356.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.