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Finding the Third Proportional to 6.75 and 14.13

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Solution

The third proportional to 6.75 and 14.13 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 14.13 = 14.13 : x
  2. Step 2: Convert to fraction form
    6.75/14.13 = 14.13/x
  3. Step 3: Cross multiply
    6.75x = 14.13 × 14.13
  4. Step 4: Simplify right side
    6.75x = 199.74
  5. Step 5: Solve for x
    x = 199.74/6.75
  6. Step 6: Final answer
    x = 29.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.