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Finding the Third Proportional to 1,180.55 and 2,584.97

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Solution

The third proportional to 1,180.55 and 2,584.97 is: 5,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.55 : 2,584.97 = 2,584.97 : x
  2. Step 2: Convert to fraction form
    1,180.55/2,584.97 = 2,584.97/x
  3. Step 3: Cross multiply
    1,180.55x = 2,584.97 × 2,584.97
  4. Step 4: Simplify right side
    1,180.55x = 6,682,063.44
  5. Step 5: Solve for x
    x = 6,682,063.44/1,180.55
  6. Step 6: Final answer
    x = 5,660.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.