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Finding the Third Proportional to 22,198 and 33,213

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Solution

The third proportional to 22,198 and 33,213 is: 49,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198 : 33,213 = 33,213 : x
  2. Step 2: Convert to fraction form
    22,198/33,213 = 33,213/x
  3. Step 3: Cross multiply
    22,198x = 33,213 × 33,213
  4. Step 4: Simplify right side
    22,198x = 1,103,103,369
  5. Step 5: Solve for x
    x = 1,103,103,369/22,198
  6. Step 6: Final answer
    x = 49,693.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.