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Finding the Third Proportional to 6.80 and 14.34

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Solution

The third proportional to 6.80 and 14.34 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 14.34 = 14.34 : x
  2. Step 2: Convert to fraction form
    6.80/14.34 = 14.34/x
  3. Step 3: Cross multiply
    6.80x = 14.34 × 14.34
  4. Step 4: Simplify right side
    6.80x = 205.74
  5. Step 5: Solve for x
    x = 205.74/6.80
  6. Step 6: Final answer
    x = 30.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.