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Finding the Third Proportional to 3.30 and 6.48

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Solution

The third proportional to 3.30 and 6.48 is: 12.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.30 : 6.48 = 6.48 : x
  2. Step 2: Convert to fraction form
    3.30/6.48 = 6.48/x
  3. Step 3: Cross multiply
    3.30x = 6.48 × 6.48
  4. Step 4: Simplify right side
    3.30x = 42.00
  5. Step 5: Solve for x
    x = 42.00/3.30
  6. Step 6: Final answer
    x = 12.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.