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Finding the Third Proportional to 33.67 and 62.49

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Solution

The third proportional to 33.67 and 62.49 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.67 : 62.49 = 62.49 : x
  2. Step 2: Convert to fraction form
    33.67/62.49 = 62.49/x
  3. Step 3: Cross multiply
    33.67x = 62.49 × 62.49
  4. Step 4: Simplify right side
    33.67x = 3,904.93
  5. Step 5: Solve for x
    x = 3,904.93/33.67
  6. Step 6: Final answer
    x = 115.96

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.