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Finding the Third Proportional to 4,163.06 and 8,940.94

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Solution

The third proportional to 4,163.06 and 8,940.94 is: 19,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.06 : 8,940.94 = 8,940.94 : x
  2. Step 2: Convert to fraction form
    4,163.06/8,940.94 = 8,940.94/x
  3. Step 3: Cross multiply
    4,163.06x = 8,940.94 × 8,940.94
  4. Step 4: Simplify right side
    4,163.06x = 79,940,363.38
  5. Step 5: Solve for x
    x = 79,940,363.38/4,163.06
  6. Step 6: Final answer
    x = 19,202.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.