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Finding the Third Proportional to 2,012.75 and 3,003.25

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Solution

The third proportional to 2,012.75 and 3,003.25 is: 4,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.75 : 3,003.25 = 3,003.25 : x
  2. Step 2: Convert to fraction form
    2,012.75/3,003.25 = 3,003.25/x
  3. Step 3: Cross multiply
    2,012.75x = 3,003.25 × 3,003.25
  4. Step 4: Simplify right side
    2,012.75x = 9,019,510.56
  5. Step 5: Solve for x
    x = 9,019,510.56/2,012.75
  6. Step 6: Final answer
    x = 4,481.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.