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Finding the Third Proportional to 5.42 and 11.13

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Solution

The third proportional to 5.42 and 11.13 is: 22.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    5.42/11.13 = 11.13/x
  3. Step 3: Cross multiply
    5.42x = 11.13 × 11.13
  4. Step 4: Simplify right side
    5.42x = 123.97
  5. Step 5: Solve for x
    x = 123.97/5.42
  6. Step 6: Final answer
    x = 22.88

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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.