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Finding the Third Proportional to 20.33 and 42.27

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Solution

The third proportional to 20.33 and 42.27 is: 87.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.33 : 42.27 = 42.27 : x
  2. Step 2: Convert to fraction form
    20.33/42.27 = 42.27/x
  3. Step 3: Cross multiply
    20.33x = 42.27 × 42.27
  4. Step 4: Simplify right side
    20.33x = 1,786.68
  5. Step 5: Solve for x
    x = 1,786.68/20.33
  6. Step 6: Final answer
    x = 87.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.