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Finding the Third Proportional to 2,026.27 and 2,879.30

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Solution

The third proportional to 2,026.27 and 2,879.30 is: 4,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.27 : 2,879.30 = 2,879.30 : x
  2. Step 2: Convert to fraction form
    2,026.27/2,879.30 = 2,879.30/x
  3. Step 3: Cross multiply
    2,026.27x = 2,879.30 × 2,879.30
  4. Step 4: Simplify right side
    2,026.27x = 8,290,350.49
  5. Step 5: Solve for x
    x = 8,290,350.49/2,026.27
  6. Step 6: Final answer
    x = 4,091.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.