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Finding the Third Proportional to 3,924.07 and 6,976.76

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Solution

The third proportional to 3,924.07 and 6,976.76 is: 12,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.07 : 6,976.76 = 6,976.76 : x
  2. Step 2: Convert to fraction form
    3,924.07/6,976.76 = 6,976.76/x
  3. Step 3: Cross multiply
    3,924.07x = 6,976.76 × 6,976.76
  4. Step 4: Simplify right side
    3,924.07x = 48,675,149.57
  5. Step 5: Solve for x
    x = 48,675,149.57/3,924.07
  6. Step 6: Final answer
    x = 12,404.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.