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Finding the Third Proportional to 3.37 and 6.78

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Solution

The third proportional to 3.37 and 6.78 is: 13.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.37 : 6.78 = 6.78 : x
  2. Step 2: Convert to fraction form
    3.37/6.78 = 6.78/x
  3. Step 3: Cross multiply
    3.37x = 6.78 × 6.78
  4. Step 4: Simplify right side
    3.37x = 46.02
  5. Step 5: Solve for x
    x = 46.02/3.37
  6. Step 6: Final answer
    x = 13.66

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.