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Finding the Third Proportional to 6.80 and 9.97

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Solution

The third proportional to 6.80 and 9.97 is: 14.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 9.97 = 9.97 : x
  2. Step 2: Convert to fraction form
    6.80/9.97 = 9.97/x
  3. Step 3: Cross multiply
    6.80x = 9.97 × 9.97
  4. Step 4: Simplify right side
    6.80x = 99.34
  5. Step 5: Solve for x
    x = 99.34/6.80
  6. Step 6: Final answer
    x = 14.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.