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Finding the Third Proportional to 11.38 and 23.31

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Solution

The third proportional to 11.38 and 23.31 is: 47.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.38 : 23.31 = 23.31 : x
  2. Step 2: Convert to fraction form
    11.38/23.31 = 23.31/x
  3. Step 3: Cross multiply
    11.38x = 23.31 × 23.31
  4. Step 4: Simplify right side
    11.38x = 543.47
  5. Step 5: Solve for x
    x = 543.47/11.38
  6. Step 6: Final answer
    x = 47.78

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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.