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Finding the Third Proportional to 21,944 and 33,356

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Solution

The third proportional to 21,944 and 33,356 is: 50,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,944 : 33,356 = 33,356 : x
  2. Step 2: Convert to fraction form
    21,944/33,356 = 33,356/x
  3. Step 3: Cross multiply
    21,944x = 33,356 × 33,356
  4. Step 4: Simplify right side
    21,944x = 1,112,622,736
  5. Step 5: Solve for x
    x = 1,112,622,736/21,944
  6. Step 6: Final answer
    x = 50,702.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.