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Finding the Third Proportional to 2,879.53 and 6,049.22

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Solution

The third proportional to 2,879.53 and 6,049.22 is: 12,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.53 : 6,049.22 = 6,049.22 : x
  2. Step 2: Convert to fraction form
    2,879.53/6,049.22 = 6,049.22/x
  3. Step 3: Cross multiply
    2,879.53x = 6,049.22 × 6,049.22
  4. Step 4: Simplify right side
    2,879.53x = 36,593,047.49
  5. Step 5: Solve for x
    x = 36,593,047.49/2,879.53
  6. Step 6: Final answer
    x = 12,707.99

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Why These Related Problems?

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