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Finding the Third Proportional to 12,163.50 and 28,839.38

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Solution

The third proportional to 12,163.50 and 28,839.38 is: 68,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.50 : 28,839.38 = 28,839.38 : x
  2. Step 2: Convert to fraction form
    12,163.50/28,839.38 = 28,839.38/x
  3. Step 3: Cross multiply
    12,163.50x = 28,839.38 × 28,839.38
  4. Step 4: Simplify right side
    12,163.50x = 831,709,550.39
  5. Step 5: Solve for x
    x = 831,709,550.39/12,163.50
  6. Step 6: Final answer
    x = 68,377.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.