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Finding the Third Proportional to 20.97 and 28.20

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Solution

The third proportional to 20.97 and 28.20 is: 37.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.97 : 28.20 = 28.20 : x
  2. Step 2: Convert to fraction form
    20.97/28.20 = 28.20/x
  3. Step 3: Cross multiply
    20.97x = 28.20 × 28.20
  4. Step 4: Simplify right side
    20.97x = 795.37
  5. Step 5: Solve for x
    x = 795.37/20.97
  6. Step 6: Final answer
    x = 37.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.