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Finding the Third Proportional to 20.44 and 31.78

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Solution

The third proportional to 20.44 and 31.78 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.44 : 31.78 = 31.78 : x
  2. Step 2: Convert to fraction form
    20.44/31.78 = 31.78/x
  3. Step 3: Cross multiply
    20.44x = 31.78 × 31.78
  4. Step 4: Simplify right side
    20.44x = 1,010.05
  5. Step 5: Solve for x
    x = 1,010.05/20.44
  6. Step 6: Final answer
    x = 49.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.