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Finding the Third Proportional to 11.81 and 24.76

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Solution

The third proportional to 11.81 and 24.76 is: 51.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.81 : 24.76 = 24.76 : x
  2. Step 2: Convert to fraction form
    11.81/24.76 = 24.76/x
  3. Step 3: Cross multiply
    11.81x = 24.76 × 24.76
  4. Step 4: Simplify right side
    11.81x = 613.02
  5. Step 5: Solve for x
    x = 613.02/11.81
  6. Step 6: Final answer
    x = 51.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.