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Finding the Third Proportional to 3,163.22 and 5,027.48

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Solution

The third proportional to 3,163.22 and 5,027.48 is: 7,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.22 : 5,027.48 = 5,027.48 : x
  2. Step 2: Convert to fraction form
    3,163.22/5,027.48 = 5,027.48/x
  3. Step 3: Cross multiply
    3,163.22x = 5,027.48 × 5,027.48
  4. Step 4: Simplify right side
    3,163.22x = 25,275,599.14
  5. Step 5: Solve for x
    x = 25,275,599.14/3,163.22
  6. Step 6: Final answer
    x = 7,990.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.