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Finding the Third Proportional to 4,163.06 and 5,855.63

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Solution

The third proportional to 4,163.06 and 5,855.63 is: 8,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.06 : 5,855.63 = 5,855.63 : x
  2. Step 2: Convert to fraction form
    4,163.06/5,855.63 = 5,855.63/x
  3. Step 3: Cross multiply
    4,163.06x = 5,855.63 × 5,855.63
  4. Step 4: Simplify right side
    4,163.06x = 34,288,344.14
  5. Step 5: Solve for x
    x = 34,288,344.14/4,163.06
  6. Step 6: Final answer
    x = 8,236.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.