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Finding the Third Proportional to 6.35 and 13.71

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Solution

The third proportional to 6.35 and 13.71 is: 29.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.35 : 13.71 = 13.71 : x
  2. Step 2: Convert to fraction form
    6.35/13.71 = 13.71/x
  3. Step 3: Cross multiply
    6.35x = 13.71 × 13.71
  4. Step 4: Simplify right side
    6.35x = 188.04
  5. Step 5: Solve for x
    x = 188.04/6.35
  6. Step 6: Final answer
    x = 29.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.