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Finding the Third Proportional to 22,196 and 33,530

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Solution

The third proportional to 22,196 and 33,530 is: 50,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196 : 33,530 = 33,530 : x
  2. Step 2: Convert to fraction form
    22,196/33,530 = 33,530/x
  3. Step 3: Cross multiply
    22,196x = 33,530 × 33,530
  4. Step 4: Simplify right side
    22,196x = 1,124,260,900
  5. Step 5: Solve for x
    x = 1,124,260,900/22,196
  6. Step 6: Final answer
    x = 50,651.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.