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Finding the Third Proportional to 12.29 and 26.71

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Solution

The third proportional to 12.29 and 26.71 is: 58.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.29 : 26.71 = 26.71 : x
  2. Step 2: Convert to fraction form
    12.29/26.71 = 26.71/x
  3. Step 3: Cross multiply
    12.29x = 26.71 × 26.71
  4. Step 4: Simplify right side
    12.29x = 713.42
  5. Step 5: Solve for x
    x = 713.42/12.29
  6. Step 6: Final answer
    x = 58.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.