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Finding the Third Proportional to 1,464.83 and 3,163.92

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Solution

The third proportional to 1,464.83 and 3,163.92 is: 6,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.83 : 3,163.92 = 3,163.92 : x
  2. Step 2: Convert to fraction form
    1,464.83/3,163.92 = 3,163.92/x
  3. Step 3: Cross multiply
    1,464.83x = 3,163.92 × 3,163.92
  4. Step 4: Simplify right side
    1,464.83x = 10,010,380.34
  5. Step 5: Solve for x
    x = 10,010,380.34/1,464.83
  6. Step 6: Final answer
    x = 6,833.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.