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Finding the Third Proportional to 22,198 and 33,533

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Solution

The third proportional to 22,198 and 33,533 is: 50,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198 : 33,533 = 33,533 : x
  2. Step 2: Convert to fraction form
    22,198/33,533 = 33,533/x
  3. Step 3: Cross multiply
    22,198x = 33,533 × 33,533
  4. Step 4: Simplify right side
    22,198x = 1,124,462,089
  5. Step 5: Solve for x
    x = 1,124,462,089/22,198
  6. Step 6: Final answer
    x = 50,656.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.