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Finding the Third Proportional to 11.81 and 24.19

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Solution

The third proportional to 11.81 and 24.19 is: 49.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.81 : 24.19 = 24.19 : x
  2. Step 2: Convert to fraction form
    11.81/24.19 = 24.19/x
  3. Step 3: Cross multiply
    11.81x = 24.19 × 24.19
  4. Step 4: Simplify right side
    11.81x = 585.04
  5. Step 5: Solve for x
    x = 585.04/11.81
  6. Step 6: Final answer
    x = 49.53

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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.