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Finding the Third Proportional to 2,891.06 and 3,194.81

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Solution

The third proportional to 2,891.06 and 3,194.81 is: 3,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.06 : 3,194.81 = 3,194.81 : x
  2. Step 2: Convert to fraction form
    2,891.06/3,194.81 = 3,194.81/x
  3. Step 3: Cross multiply
    2,891.06x = 3,194.81 × 3,194.81
  4. Step 4: Simplify right side
    2,891.06x = 10,206,826.91
  5. Step 5: Solve for x
    x = 10,206,826.91/2,891.06
  6. Step 6: Final answer
    x = 3,530.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.