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Finding the Third Proportional to 2,020.33 and 3,033.23

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Solution

The third proportional to 2,020.33 and 3,033.23 is: 4,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.33 : 3,033.23 = 3,033.23 : x
  2. Step 2: Convert to fraction form
    2,020.33/3,033.23 = 3,033.23/x
  3. Step 3: Cross multiply
    2,020.33x = 3,033.23 × 3,033.23
  4. Step 4: Simplify right side
    2,020.33x = 9,200,475.23
  5. Step 5: Solve for x
    x = 9,200,475.23/2,020.33
  6. Step 6: Final answer
    x = 4,553.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.