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Finding the Third Proportional to 1,229.25 and 2,879.63

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Solution

The third proportional to 1,229.25 and 2,879.63 is: 6,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.25 : 2,879.63 = 2,879.63 : x
  2. Step 2: Convert to fraction form
    1,229.25/2,879.63 = 2,879.63/x
  3. Step 3: Cross multiply
    1,229.25x = 2,879.63 × 2,879.63
  4. Step 4: Simplify right side
    1,229.25x = 8,292,240.14
  5. Step 5: Solve for x
    x = 8,292,240.14/1,229.25
  6. Step 6: Final answer
    x = 6,745.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.