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Finding the Third Proportional to 11.74 and 24.82

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Solution

The third proportional to 11.74 and 24.82 is: 52.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.74 : 24.82 = 24.82 : x
  2. Step 2: Convert to fraction form
    11.74/24.82 = 24.82/x
  3. Step 3: Cross multiply
    11.74x = 24.82 × 24.82
  4. Step 4: Simplify right side
    11.74x = 616.05
  5. Step 5: Solve for x
    x = 616.05/11.74
  6. Step 6: Final answer
    x = 52.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.