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Finding the Third Proportional to 3,230.50 and 6,976.75

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Solution

The third proportional to 3,230.50 and 6,976.75 is: 15,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.50 : 6,976.75 = 6,976.75 : x
  2. Step 2: Convert to fraction form
    3,230.50/6,976.75 = 6,976.75/x
  3. Step 3: Cross multiply
    3,230.50x = 6,976.75 × 6,976.75
  4. Step 4: Simplify right side
    3,230.50x = 48,675,040.56
  5. Step 5: Solve for x
    x = 48,675,040.56/3,230.50
  6. Step 6: Final answer
    x = 15,067.34

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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.