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Finding the Third Proportional to 17.96 and 28.22

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Solution

The third proportional to 17.96 and 28.22 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 28.22 = 28.22 : x
  2. Step 2: Convert to fraction form
    17.96/28.22 = 28.22/x
  3. Step 3: Cross multiply
    17.96x = 28.22 × 28.22
  4. Step 4: Simplify right side
    17.96x = 796.57
  5. Step 5: Solve for x
    x = 796.57/17.96
  6. Step 6: Final answer
    x = 44.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.