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Finding the Third Proportional to 33.75 and 52.69

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Solution

The third proportional to 33.75 and 52.69 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.75 : 52.69 = 52.69 : x
  2. Step 2: Convert to fraction form
    33.75/52.69 = 52.69/x
  3. Step 3: Cross multiply
    33.75x = 52.69 × 52.69
  4. Step 4: Simplify right side
    33.75x = 2,775.97
  5. Step 5: Solve for x
    x = 2,775.97/33.75
  6. Step 6: Final answer
    x = 82.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.