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Finding the Third Proportional to 6,481.75 and 13,949

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Solution

The third proportional to 6,481.75 and 13,949 is: 30,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.75 : 13,949 = 13,949 : x
  2. Step 2: Convert to fraction form
    6,481.75/13,949 = 13,949/x
  3. Step 3: Cross multiply
    6,481.75x = 13,949 × 13,949
  4. Step 4: Simplify right side
    6,481.75x = 194,574,601
  5. Step 5: Solve for x
    x = 194,574,601/6,481.75
  6. Step 6: Final answer
    x = 30,018.84

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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.