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Finding the Third Proportional to 2,029.22 and 3,081.80

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Solution

The third proportional to 2,029.22 and 3,081.80 is: 4,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 3,081.80 = 3,081.80 : x
  2. Step 2: Convert to fraction form
    2,029.22/3,081.80 = 3,081.80/x
  3. Step 3: Cross multiply
    2,029.22x = 3,081.80 × 3,081.80
  4. Step 4: Simplify right side
    2,029.22x = 9,497,471.98
  5. Step 5: Solve for x
    x = 9,497,471.98/2,029.22
  6. Step 6: Final answer
    x = 4,680.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.