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Finding the Third Proportional to 2,694.94 and 5,771.81

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Solution

The third proportional to 2,694.94 and 5,771.81 is: 12,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.94 : 5,771.81 = 5,771.81 : x
  2. Step 2: Convert to fraction form
    2,694.94/5,771.81 = 5,771.81/x
  3. Step 3: Cross multiply
    2,694.94x = 5,771.81 × 5,771.81
  4. Step 4: Simplify right side
    2,694.94x = 33,313,819.54
  5. Step 5: Solve for x
    x = 33,313,819.54/2,694.94
  6. Step 6: Final answer
    x = 12,361.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.