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Finding the Third Proportional to 17 and 20.75

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Solution

The third proportional to 17 and 20.75 is: 25.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17 : 20.75 = 20.75 : x
  2. Step 2: Convert to fraction form
    17/20.75 = 20.75/x
  3. Step 3: Cross multiply
    17x = 20.75 × 20.75
  4. Step 4: Simplify right side
    17x = 430.56
  5. Step 5: Solve for x
    x = 430.56/17
  6. Step 6: Final answer
    x = 25.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.