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Finding the Third Proportional to 22,518 and 33,696

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Solution

The third proportional to 22,518 and 33,696 is: 50,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 33,696 = 33,696 : x
  2. Step 2: Convert to fraction form
    22,518/33,696 = 33,696/x
  3. Step 3: Cross multiply
    22,518x = 33,696 × 33,696
  4. Step 4: Simplify right side
    22,518x = 1,135,420,416
  5. Step 5: Solve for x
    x = 1,135,420,416/22,518
  6. Step 6: Final answer
    x = 50,422.79

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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.