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Finding the Third Proportional to 33.26 and 50.55

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Solution

The third proportional to 33.26 and 50.55 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.26 : 50.55 = 50.55 : x
  2. Step 2: Convert to fraction form
    33.26/50.55 = 50.55/x
  3. Step 3: Cross multiply
    33.26x = 50.55 × 50.55
  4. Step 4: Simplify right side
    33.26x = 2,555.78
  5. Step 5: Solve for x
    x = 2,555.78/33.26
  6. Step 6: Final answer
    x = 76.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.