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Finding the Third Proportional to 33.97 and 92.05

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Solution

The third proportional to 33.97 and 92.05 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.97 : 92.05 = 92.05 : x
  2. Step 2: Convert to fraction form
    33.97/92.05 = 92.05/x
  3. Step 3: Cross multiply
    33.97x = 92.05 × 92.05
  4. Step 4: Simplify right side
    33.97x = 8,472.63
  5. Step 5: Solve for x
    x = 8,472.63/33.97
  6. Step 6: Final answer
    x = 249.42

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.