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Finding the Third Proportional to 22,322 and 33,771

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Solution

The third proportional to 22,322 and 33,771 is: 51,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322 : 33,771 = 33,771 : x
  2. Step 2: Convert to fraction form
    22,322/33,771 = 33,771/x
  3. Step 3: Cross multiply
    22,322x = 33,771 × 33,771
  4. Step 4: Simplify right side
    22,322x = 1,140,480,441
  5. Step 5: Solve for x
    x = 1,140,480,441/22,322
  6. Step 6: Final answer
    x = 51,092.22

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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.