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Finding the Third Proportional to 2,108.67 and 3,003.82

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Solution

The third proportional to 2,108.67 and 3,003.82 is: 4,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.67 : 3,003.82 = 3,003.82 : x
  2. Step 2: Convert to fraction form
    2,108.67/3,003.82 = 3,003.82/x
  3. Step 3: Cross multiply
    2,108.67x = 3,003.82 × 3,003.82
  4. Step 4: Simplify right side
    2,108.67x = 9,022,936.47
  5. Step 5: Solve for x
    x = 9,022,936.47/2,108.67
  6. Step 6: Final answer
    x = 4,278.97

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