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Finding the Third Proportional to 20.25 and 28.13

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Solution

The third proportional to 20.25 and 28.13 is: 39.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 28.13 = 28.13 : x
  2. Step 2: Convert to fraction form
    20.25/28.13 = 28.13/x
  3. Step 3: Cross multiply
    20.25x = 28.13 × 28.13
  4. Step 4: Simplify right side
    20.25x = 791.02
  5. Step 5: Solve for x
    x = 791.02/20.25
  6. Step 6: Final answer
    x = 39.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.