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Finding the Third Proportional to 5.38 and 11.31

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Solution

The third proportional to 5.38 and 11.31 is: 23.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 11.31 = 11.31 : x
  2. Step 2: Convert to fraction form
    5.38/11.31 = 11.31/x
  3. Step 3: Cross multiply
    5.38x = 11.31 × 11.31
  4. Step 4: Simplify right side
    5.38x = 128.01
  5. Step 5: Solve for x
    x = 128.01/5.38
  6. Step 6: Final answer
    x = 23.78

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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.