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Finding the Third Proportional to 6.17 and 13.27

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Solution

The third proportional to 6.17 and 13.27 is: 28.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.17 : 13.27 = 13.27 : x
  2. Step 2: Convert to fraction form
    6.17/13.27 = 13.27/x
  3. Step 3: Cross multiply
    6.17x = 13.27 × 13.27
  4. Step 4: Simplify right side
    6.17x = 176.13
  5. Step 5: Solve for x
    x = 176.13/6.17
  6. Step 6: Final answer
    x = 28.55

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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.