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Finding the Third Proportional to 16.27 and 22.73

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Solution

The third proportional to 16.27 and 22.73 is: 31.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.27 : 22.73 = 22.73 : x
  2. Step 2: Convert to fraction form
    16.27/22.73 = 22.73/x
  3. Step 3: Cross multiply
    16.27x = 22.73 × 22.73
  4. Step 4: Simplify right side
    16.27x = 516.66
  5. Step 5: Solve for x
    x = 516.66/16.27
  6. Step 6: Final answer
    x = 31.76

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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.