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Finding the Third Proportional to 1,194.80 and 2,581.78

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Solution

The third proportional to 1,194.80 and 2,581.78 is: 5,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.80 : 2,581.78 = 2,581.78 : x
  2. Step 2: Convert to fraction form
    1,194.80/2,581.78 = 2,581.78/x
  3. Step 3: Cross multiply
    1,194.80x = 2,581.78 × 2,581.78
  4. Step 4: Simplify right side
    1,194.80x = 6,665,594.42
  5. Step 5: Solve for x
    x = 6,665,594.42/1,194.80
  6. Step 6: Final answer
    x = 5,578.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.