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Finding the Third Proportional to 21,571 and 33,109

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Solution

The third proportional to 21,571 and 33,109 is: 50,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571 : 33,109 = 33,109 : x
  2. Step 2: Convert to fraction form
    21,571/33,109 = 33,109/x
  3. Step 3: Cross multiply
    21,571x = 33,109 × 33,109
  4. Step 4: Simplify right side
    21,571x = 1,096,205,881
  5. Step 5: Solve for x
    x = 1,096,205,881/21,571
  6. Step 6: Final answer
    x = 50,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.