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Finding the Third Proportional to 12.27 and 26.96

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Solution

The third proportional to 12.27 and 26.96 is: 59.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.27 : 26.96 = 26.96 : x
  2. Step 2: Convert to fraction form
    12.27/26.96 = 26.96/x
  3. Step 3: Cross multiply
    12.27x = 26.96 × 26.96
  4. Step 4: Simplify right side
    12.27x = 727.10
  5. Step 5: Solve for x
    x = 727.10/12.27
  6. Step 6: Final answer
    x = 59.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.