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Finding the Third Proportional to 6 and 12.75

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Solution

The third proportional to 6 and 12.75 is: 27.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 12.75 = 12.75 : x
  2. Step 2: Convert to fraction form
    6/12.75 = 12.75/x
  3. Step 3: Cross multiply
    6x = 12.75 × 12.75
  4. Step 4: Simplify right side
    6x = 162.56
  5. Step 5: Solve for x
    x = 162.56/6
  6. Step 6: Final answer
    x = 27.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.