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Finding the Third Proportional to 6.39 and 13.74

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Solution

The third proportional to 6.39 and 13.74 is: 29.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.39 : 13.74 = 13.74 : x
  2. Step 2: Convert to fraction form
    6.39/13.74 = 13.74/x
  3. Step 3: Cross multiply
    6.39x = 13.74 × 13.74
  4. Step 4: Simplify right side
    6.39x = 188.71
  5. Step 5: Solve for x
    x = 188.71/6.39
  6. Step 6: Final answer
    x = 29.53

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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.