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Finding the Third Proportional to 12.29 and 24.73

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Solution

The third proportional to 12.29 and 24.73 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.29 : 24.73 = 24.73 : x
  2. Step 2: Convert to fraction form
    12.29/24.73 = 24.73/x
  3. Step 3: Cross multiply
    12.29x = 24.73 × 24.73
  4. Step 4: Simplify right side
    12.29x = 611.64
  5. Step 5: Solve for x
    x = 611.64/12.29
  6. Step 6: Final answer
    x = 49.78

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.