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Finding the Third Proportional to 2,002.03 and 2,993.72

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Solution

The third proportional to 2,002.03 and 2,993.72 is: 4,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.03 : 2,993.72 = 2,993.72 : x
  2. Step 2: Convert to fraction form
    2,002.03/2,993.72 = 2,993.72/x
  3. Step 3: Cross multiply
    2,002.03x = 2,993.72 × 2,993.72
  4. Step 4: Simplify right side
    2,002.03x = 8,962,351.95
  5. Step 5: Solve for x
    x = 8,962,351.95/2,002.03
  6. Step 6: Final answer
    x = 4,476.63

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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.