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Finding the Third Proportional to 21,873.75 and 33,114.75

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Solution

The third proportional to 21,873.75 and 33,114.75 is: 50,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.75 : 33,114.75 = 33,114.75 : x
  2. Step 2: Convert to fraction form
    21,873.75/33,114.75 = 33,114.75/x
  3. Step 3: Cross multiply
    21,873.75x = 33,114.75 × 33,114.75
  4. Step 4: Simplify right side
    21,873.75x = 1,096,586,667.56
  5. Step 5: Solve for x
    x = 1,096,586,667.56/21,873.75
  6. Step 6: Final answer
    x = 50,132.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.