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Finding the Third Proportional to 33.97 and 50.11

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Solution

The third proportional to 33.97 and 50.11 is: 73.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.97 : 50.11 = 50.11 : x
  2. Step 2: Convert to fraction form
    33.97/50.11 = 50.11/x
  3. Step 3: Cross multiply
    33.97x = 50.11 × 50.11
  4. Step 4: Simplify right side
    33.97x = 2,510.95
  5. Step 5: Solve for x
    x = 2,510.95/33.97
  6. Step 6: Final answer
    x = 73.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.