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Finding the Third Proportional to 1,981.50 and 4,183.97

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Solution

The third proportional to 1,981.50 and 4,183.97 is: 8,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.50 : 4,183.97 = 4,183.97 : x
  2. Step 2: Convert to fraction form
    1,981.50/4,183.97 = 4,183.97/x
  3. Step 3: Cross multiply
    1,981.50x = 4,183.97 × 4,183.97
  4. Step 4: Simplify right side
    1,981.50x = 17,505,594.50
  5. Step 5: Solve for x
    x = 17,505,594.50/1,981.50
  6. Step 6: Final answer
    x = 8,834.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.