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Finding the Third Proportional to 33.38 and 50.47

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Solution

The third proportional to 33.38 and 50.47 is: 76.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.38 : 50.47 = 50.47 : x
  2. Step 2: Convert to fraction form
    33.38/50.47 = 50.47/x
  3. Step 3: Cross multiply
    33.38x = 50.47 × 50.47
  4. Step 4: Simplify right side
    33.38x = 2,546.90
  5. Step 5: Solve for x
    x = 2,546.90/33.38
  6. Step 6: Final answer
    x = 76.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.