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Finding the Third Proportional to 21,818.25 and 33,171.75

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Solution

The third proportional to 21,818.25 and 33,171.75 is: 50,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.25 : 33,171.75 = 33,171.75 : x
  2. Step 2: Convert to fraction form
    21,818.25/33,171.75 = 33,171.75/x
  3. Step 3: Cross multiply
    21,818.25x = 33,171.75 × 33,171.75
  4. Step 4: Simplify right side
    21,818.25x = 1,100,364,998.06
  5. Step 5: Solve for x
    x = 1,100,364,998.06/21,818.25
  6. Step 6: Final answer
    x = 50,433.24

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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.