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Finding the Third Proportional to 11.81 and 24.26

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Solution

The third proportional to 11.81 and 24.26 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.81 : 24.26 = 24.26 : x
  2. Step 2: Convert to fraction form
    11.81/24.26 = 24.26/x
  3. Step 3: Cross multiply
    11.81x = 24.26 × 24.26
  4. Step 4: Simplify right side
    11.81x = 588.44
  5. Step 5: Solve for x
    x = 588.44/11.81
  6. Step 6: Final answer
    x = 49.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.