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Finding the Third Proportional to 5,267.25 and 12,163.13

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Solution

The third proportional to 5,267.25 and 12,163.13 is: 28,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.25 : 12,163.13 = 12,163.13 : x
  2. Step 2: Convert to fraction form
    5,267.25/12,163.13 = 12,163.13/x
  3. Step 3: Cross multiply
    5,267.25x = 12,163.13 × 12,163.13
  4. Step 4: Simplify right side
    5,267.25x = 147,941,609.77
  5. Step 5: Solve for x
    x = 147,941,609.77/5,267.25
  6. Step 6: Final answer
    x = 28,087.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.