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Finding the Third Proportional to 3.97 and 9.68

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Solution

The third proportional to 3.97 and 9.68 is: 23.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 9.68 = 9.68 : x
  2. Step 2: Convert to fraction form
    3.97/9.68 = 9.68/x
  3. Step 3: Cross multiply
    3.97x = 9.68 × 9.68
  4. Step 4: Simplify right side
    3.97x = 93.80
  5. Step 5: Solve for x
    x = 93.80/3.97
  6. Step 6: Final answer
    x = 23.60

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.