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Finding the Third Proportional to 22,493 and 33,616

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Solution

The third proportional to 22,493 and 33,616 is: 50,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493 : 33,616 = 33,616 : x
  2. Step 2: Convert to fraction form
    22,493/33,616 = 33,616/x
  3. Step 3: Cross multiply
    22,493x = 33,616 × 33,616
  4. Step 4: Simplify right side
    22,493x = 1,130,035,456
  5. Step 5: Solve for x
    x = 1,130,035,456/22,493
  6. Step 6: Final answer
    x = 50,239.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.