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Finding the Third Proportional to 3.01 and 6.14

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Solution

The third proportional to 3.01 and 6.14 is: 12.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.01 : 6.14 = 6.14 : x
  2. Step 2: Convert to fraction form
    3.01/6.14 = 6.14/x
  3. Step 3: Cross multiply
    3.01x = 6.14 × 6.14
  4. Step 4: Simplify right side
    3.01x = 37.67
  5. Step 5: Solve for x
    x = 37.67/3.01
  6. Step 6: Final answer
    x = 12.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.