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Finding the Third Proportional to 2,879.25 and 6,048.75

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Solution

The third proportional to 2,879.25 and 6,048.75 is: 12,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.25 : 6,048.75 = 6,048.75 : x
  2. Step 2: Convert to fraction form
    2,879.25/6,048.75 = 6,048.75/x
  3. Step 3: Cross multiply
    2,879.25x = 6,048.75 × 6,048.75
  4. Step 4: Simplify right side
    2,879.25x = 36,587,376.56
  5. Step 5: Solve for x
    x = 36,587,376.56/2,879.25
  6. Step 6: Final answer
    x = 12,707.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.