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Finding the Third Proportional to 5.97 and 12.82

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Solution

The third proportional to 5.97 and 12.82 is: 27.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.97 : 12.82 = 12.82 : x
  2. Step 2: Convert to fraction form
    5.97/12.82 = 12.82/x
  3. Step 3: Cross multiply
    5.97x = 12.82 × 12.82
  4. Step 4: Simplify right side
    5.97x = 164.45
  5. Step 5: Solve for x
    x = 164.45/5.97
  6. Step 6: Final answer
    x = 27.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.