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Finding the Third Proportional to 3.03 and 6.44

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Solution

The third proportional to 3.03 and 6.44 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.03 : 6.44 = 6.44 : x
  2. Step 2: Convert to fraction form
    3.03/6.44 = 6.44/x
  3. Step 3: Cross multiply
    3.03x = 6.44 × 6.44
  4. Step 4: Simplify right side
    3.03x = 41.43
  5. Step 5: Solve for x
    x = 41.43/3.03
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.