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Finding the Third Proportional to 11.41 and 23.73

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Solution

The third proportional to 11.41 and 23.73 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.41 : 23.73 = 23.73 : x
  2. Step 2: Convert to fraction form
    11.41/23.73 = 23.73/x
  3. Step 3: Cross multiply
    11.41x = 23.73 × 23.73
  4. Step 4: Simplify right side
    11.41x = 562.96
  5. Step 5: Solve for x
    x = 562.96/11.41
  6. Step 6: Final answer
    x = 49.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.