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Finding the Third Proportional to 22,027 and 44,824

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Solution

The third proportional to 22,027 and 44,824 is: 91,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027 : 44,824 = 44,824 : x
  2. Step 2: Convert to fraction form
    22,027/44,824 = 44,824/x
  3. Step 3: Cross multiply
    22,027x = 44,824 × 44,824
  4. Step 4: Simplify right side
    22,027x = 2,009,190,976
  5. Step 5: Solve for x
    x = 2,009,190,976/22,027
  6. Step 6: Final answer
    x = 91,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.