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Finding the Third Proportional to 6 and 13.78

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Solution

The third proportional to 6 and 13.78 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 13.78 = 13.78 : x
  2. Step 2: Convert to fraction form
    6/13.78 = 13.78/x
  3. Step 3: Cross multiply
    6x = 13.78 × 13.78
  4. Step 4: Simplify right side
    6x = 189.92
  5. Step 5: Solve for x
    x = 189.92/6
  6. Step 6: Final answer
    x = 31.65

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.