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Finding the Third Proportional to 22,077 and 33,317

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Solution

The third proportional to 22,077 and 33,317 is: 50,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077 : 33,317 = 33,317 : x
  2. Step 2: Convert to fraction form
    22,077/33,317 = 33,317/x
  3. Step 3: Cross multiply
    22,077x = 33,317 × 33,317
  4. Step 4: Simplify right side
    22,077x = 1,110,022,489
  5. Step 5: Solve for x
    x = 1,110,022,489/22,077
  6. Step 6: Final answer
    x = 50,279.59

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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.