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Finding the Third Proportional to 33,432 and 39,192

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Solution

The third proportional to 33,432 and 39,192 is: 45,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,432 : 39,192 = 39,192 : x
  2. Step 2: Convert to fraction form
    33,432/39,192 = 39,192/x
  3. Step 3: Cross multiply
    33,432x = 39,192 × 39,192
  4. Step 4: Simplify right side
    33,432x = 1,536,012,864
  5. Step 5: Solve for x
    x = 1,536,012,864/33,432
  6. Step 6: Final answer
    x = 45,944.39

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.