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Finding the Third Proportional to 33,384 and 67,692

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Solution

The third proportional to 33,384 and 67,692 is: 137,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384 : 67,692 = 67,692 : x
  2. Step 2: Convert to fraction form
    33,384/67,692 = 67,692/x
  3. Step 3: Cross multiply
    33,384x = 67,692 × 67,692
  4. Step 4: Simplify right side
    33,384x = 4,582,206,864
  5. Step 5: Solve for x
    x = 4,582,206,864/33,384
  6. Step 6: Final answer
    x = 137,257.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.