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Finding the Third Proportional to 20.25 and 28.44

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Solution

The third proportional to 20.25 and 28.44 is: 39.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 28.44 = 28.44 : x
  2. Step 2: Convert to fraction form
    20.25/28.44 = 28.44/x
  3. Step 3: Cross multiply
    20.25x = 28.44 × 28.44
  4. Step 4: Simplify right side
    20.25x = 808.69
  5. Step 5: Solve for x
    x = 808.69/20.25
  6. Step 6: Final answer
    x = 39.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.