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Finding the Third Proportional to 6 and 13.38

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Solution

The third proportional to 6 and 13.38 is: 29.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 13.38 = 13.38 : x
  2. Step 2: Convert to fraction form
    6/13.38 = 13.38/x
  3. Step 3: Cross multiply
    6x = 13.38 × 13.38
  4. Step 4: Simplify right side
    6x = 178.89
  5. Step 5: Solve for x
    x = 178.89/6
  6. Step 6: Final answer
    x = 29.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.