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Finding the Third Proportional to 2,991.94 and 5,854.78

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Solution

The third proportional to 2,991.94 and 5,854.78 is: 11,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 5,854.78 = 5,854.78 : x
  2. Step 2: Convert to fraction form
    2,991.94/5,854.78 = 5,854.78/x
  3. Step 3: Cross multiply
    2,991.94x = 5,854.78 × 5,854.78
  4. Step 4: Simplify right side
    2,991.94x = 34,278,463.49
  5. Step 5: Solve for x
    x = 34,278,463.49/2,991.94
  6. Step 6: Final answer
    x = 11,456.95

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.