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Finding the Third Proportional to 3.00 and 6.46

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Solution

The third proportional to 3.00 and 6.46 is: 13.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.00 : 6.46 = 6.46 : x
  2. Step 2: Convert to fraction form
    3.00/6.46 = 6.46/x
  3. Step 3: Cross multiply
    3.00x = 6.46 × 6.46
  4. Step 4: Simplify right side
    3.00x = 41.79
  5. Step 5: Solve for x
    x = 41.79/3.00
  6. Step 6: Final answer
    x = 13.94

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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.