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Finding the Third Proportional to 33.28 and 52.78

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Solution

The third proportional to 33.28 and 52.78 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.28 : 52.78 = 52.78 : x
  2. Step 2: Convert to fraction form
    33.28/52.78 = 52.78/x
  3. Step 3: Cross multiply
    33.28x = 52.78 × 52.78
  4. Step 4: Simplify right side
    33.28x = 2,785.86
  5. Step 5: Solve for x
    x = 2,785.86/33.28
  6. Step 6: Final answer
    x = 83.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.