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Finding the Third Proportional to 16.75 and 33.69

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Solution

The third proportional to 16.75 and 33.69 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 33.69 = 33.69 : x
  2. Step 2: Convert to fraction form
    16.75/33.69 = 33.69/x
  3. Step 3: Cross multiply
    16.75x = 33.69 × 33.69
  4. Step 4: Simplify right side
    16.75x = 1,134.85
  5. Step 5: Solve for x
    x = 1,134.85/16.75
  6. Step 6: Final answer
    x = 67.75

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.