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Finding the Third Proportional to 22,099 and 33,469

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Solution

The third proportional to 22,099 and 33,469 is: 50,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099 : 33,469 = 33,469 : x
  2. Step 2: Convert to fraction form
    22,099/33,469 = 33,469/x
  3. Step 3: Cross multiply
    22,099x = 33,469 × 33,469
  4. Step 4: Simplify right side
    22,099x = 1,120,173,961
  5. Step 5: Solve for x
    x = 1,120,173,961/22,099
  6. Step 6: Final answer
    x = 50,688.90

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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.