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Finding the Third Proportional to 2,003.86 and 4,440.21

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Solution

The third proportional to 2,003.86 and 4,440.21 is: 9,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.86 : 4,440.21 = 4,440.21 : x
  2. Step 2: Convert to fraction form
    2,003.86/4,440.21 = 4,440.21/x
  3. Step 3: Cross multiply
    2,003.86x = 4,440.21 × 4,440.21
  4. Step 4: Simplify right side
    2,003.86x = 19,715,447.15
  5. Step 5: Solve for x
    x = 19,715,447.15/2,003.86
  6. Step 6: Final answer
    x = 9,838.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.