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Finding the Third Proportional to 12.24 and 26.92

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Solution

The third proportional to 12.24 and 26.92 is: 59.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.24 : 26.92 = 26.92 : x
  2. Step 2: Convert to fraction form
    12.24/26.92 = 26.92/x
  3. Step 3: Cross multiply
    12.24x = 26.92 × 26.92
  4. Step 4: Simplify right side
    12.24x = 724.47
  5. Step 5: Solve for x
    x = 724.47/12.24
  6. Step 6: Final answer
    x = 59.20

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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.