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Finding the Third Proportional to 33.44 and 81.97

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Solution

The third proportional to 33.44 and 81.97 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.44 : 81.97 = 81.97 : x
  2. Step 2: Convert to fraction form
    33.44/81.97 = 81.97/x
  3. Step 3: Cross multiply
    33.44x = 81.97 × 81.97
  4. Step 4: Simplify right side
    33.44x = 6,718.88
  5. Step 5: Solve for x
    x = 6,718.88/33.44
  6. Step 6: Final answer
    x = 200.94

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.