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Finding the Third Proportional to 33.54 and 50.20

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Solution

The third proportional to 33.54 and 50.20 is: 75.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.54 : 50.20 = 50.20 : x
  2. Step 2: Convert to fraction form
    33.54/50.20 = 50.20/x
  3. Step 3: Cross multiply
    33.54x = 50.20 × 50.20
  4. Step 4: Simplify right side
    33.54x = 2,520.35
  5. Step 5: Solve for x
    x = 2,520.35/33.54
  6. Step 6: Final answer
    x = 75.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.