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Finding the Third Proportional to 20.38 and 30.88

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Solution

The third proportional to 20.38 and 30.88 is: 46.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.38 : 30.88 = 30.88 : x
  2. Step 2: Convert to fraction form
    20.38/30.88 = 30.88/x
  3. Step 3: Cross multiply
    20.38x = 30.88 × 30.88
  4. Step 4: Simplify right side
    20.38x = 953.27
  5. Step 5: Solve for x
    x = 953.27/20.38
  6. Step 6: Final answer
    x = 46.79

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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.