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Finding the Third Proportional to 13,198 and 28,274

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Solution

The third proportional to 13,198 and 28,274 is: 60,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198 : 28,274 = 28,274 : x
  2. Step 2: Convert to fraction form
    13,198/28,274 = 28,274/x
  3. Step 3: Cross multiply
    13,198x = 28,274 × 28,274
  4. Step 4: Simplify right side
    13,198x = 799,419,076
  5. Step 5: Solve for x
    x = 799,419,076/13,198
  6. Step 6: Final answer
    x = 60,571.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.