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Finding the Third Proportional to 3.01 and 6.46

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Solution

The third proportional to 3.01 and 6.46 is: 13.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.01 : 6.46 = 6.46 : x
  2. Step 2: Convert to fraction form
    3.01/6.46 = 6.46/x
  3. Step 3: Cross multiply
    3.01x = 6.46 × 6.46
  4. Step 4: Simplify right side
    3.01x = 41.70
  5. Step 5: Solve for x
    x = 41.70/3.01
  6. Step 6: Final answer
    x = 13.87

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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.