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Finding the Third Proportional to 5.38 and 11

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Solution

The third proportional to 5.38 and 11 is: 22.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 11 = 11 : x
  2. Step 2: Convert to fraction form
    5.38/11 = 11/x
  3. Step 3: Cross multiply
    5.38x = 11 × 11
  4. Step 4: Simplify right side
    5.38x = 121
  5. Step 5: Solve for x
    x = 121/5.38
  6. Step 6: Final answer
    x = 22.51

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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.