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Finding the Third Proportional to 32,442 and 69,882

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Solution

The third proportional to 32,442 and 69,882 is: 150,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442 : 69,882 = 69,882 : x
  2. Step 2: Convert to fraction form
    32,442/69,882 = 69,882/x
  3. Step 3: Cross multiply
    32,442x = 69,882 × 69,882
  4. Step 4: Simplify right side
    32,442x = 4,883,493,924
  5. Step 5: Solve for x
    x = 4,883,493,924/32,442
  6. Step 6: Final answer
    x = 150,529.99

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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.