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Finding the Third Proportional to 6.28 and 13.61

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Solution

The third proportional to 6.28 and 13.61 is: 29.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.28 : 13.61 = 13.61 : x
  2. Step 2: Convert to fraction form
    6.28/13.61 = 13.61/x
  3. Step 3: Cross multiply
    6.28x = 13.61 × 13.61
  4. Step 4: Simplify right side
    6.28x = 185.15
  5. Step 5: Solve for x
    x = 185.15/6.28
  6. Step 6: Final answer
    x = 29.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.