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Finding the Third Proportional to 2,839.43 and 5,794.66

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Solution

The third proportional to 2,839.43 and 5,794.66 is: 11,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.43 : 5,794.66 = 5,794.66 : x
  2. Step 2: Convert to fraction form
    2,839.43/5,794.66 = 5,794.66/x
  3. Step 3: Cross multiply
    2,839.43x = 5,794.66 × 5,794.66
  4. Step 4: Simplify right side
    2,839.43x = 33,578,131.60
  5. Step 5: Solve for x
    x = 33,578,131.60/2,839.43
  6. Step 6: Final answer
    x = 11,825.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.