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Finding the Third Proportional to 14,223 and 33,227

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Solution

The third proportional to 14,223 and 33,227 is: 77,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223 : 33,227 = 33,227 : x
  2. Step 2: Convert to fraction form
    14,223/33,227 = 33,227/x
  3. Step 3: Cross multiply
    14,223x = 33,227 × 33,227
  4. Step 4: Simplify right side
    14,223x = 1,104,033,529
  5. Step 5: Solve for x
    x = 1,104,033,529/14,223
  6. Step 6: Final answer
    x = 77,623.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.