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Finding the Third Proportional to 22,148 and 33,286

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Solution

The third proportional to 22,148 and 33,286 is: 50,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148 : 33,286 = 33,286 : x
  2. Step 2: Convert to fraction form
    22,148/33,286 = 33,286/x
  3. Step 3: Cross multiply
    22,148x = 33,286 × 33,286
  4. Step 4: Simplify right side
    22,148x = 1,107,957,796
  5. Step 5: Solve for x
    x = 1,107,957,796/22,148
  6. Step 6: Final answer
    x = 50,025.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.