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Finding the Third Proportional to 1,996.31 and 2,163.94

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Solution

The third proportional to 1,996.31 and 2,163.94 is: 2,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.31 : 2,163.94 = 2,163.94 : x
  2. Step 2: Convert to fraction form
    1,996.31/2,163.94 = 2,163.94/x
  3. Step 3: Cross multiply
    1,996.31x = 2,163.94 × 2,163.94
  4. Step 4: Simplify right side
    1,996.31x = 4,682,625.50
  5. Step 5: Solve for x
    x = 4,682,625.50/1,996.31
  6. Step 6: Final answer
    x = 2,345.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.