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Finding the Third Proportional to 23,227 and 33,865

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Solution

The third proportional to 23,227 and 33,865 is: 49,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227 : 33,865 = 33,865 : x
  2. Step 2: Convert to fraction form
    23,227/33,865 = 33,865/x
  3. Step 3: Cross multiply
    23,227x = 33,865 × 33,865
  4. Step 4: Simplify right side
    23,227x = 1,146,838,225
  5. Step 5: Solve for x
    x = 1,146,838,225/23,227
  6. Step 6: Final answer
    x = 49,375.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.