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Finding the Third Proportional to 11.49 and 24.18

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Solution

The third proportional to 11.49 and 24.18 is: 50.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.49 : 24.18 = 24.18 : x
  2. Step 2: Convert to fraction form
    11.49/24.18 = 24.18/x
  3. Step 3: Cross multiply
    11.49x = 24.18 × 24.18
  4. Step 4: Simplify right side
    11.49x = 584.82
  5. Step 5: Solve for x
    x = 584.82/11.49
  6. Step 6: Final answer
    x = 50.91

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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.