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Finding the Third Proportional to 33,400 and 51,692

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Solution

The third proportional to 33,400 and 51,692 is: 80,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 51,692 = 51,692 : x
  2. Step 2: Convert to fraction form
    33,400/51,692 = 51,692/x
  3. Step 3: Cross multiply
    33,400x = 51,692 × 51,692
  4. Step 4: Simplify right side
    33,400x = 2,672,062,864
  5. Step 5: Solve for x
    x = 2,672,062,864/33,400
  6. Step 6: Final answer
    x = 80,001.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.