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Finding the Third Proportional to 6.78 and 14.73

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Solution

The third proportional to 6.78 and 14.73 is: 32.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 14.73 = 14.73 : x
  2. Step 2: Convert to fraction form
    6.78/14.73 = 14.73/x
  3. Step 3: Cross multiply
    6.78x = 14.73 × 14.73
  4. Step 4: Simplify right side
    6.78x = 217.10
  5. Step 5: Solve for x
    x = 217.10/6.78
  6. Step 6: Final answer
    x = 32.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.