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Finding the Third Proportional to 23,091.75 and 33,372

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Solution

The third proportional to 23,091.75 and 33,372 is: 48,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.75 : 33,372 = 33,372 : x
  2. Step 2: Convert to fraction form
    23,091.75/33,372 = 33,372/x
  3. Step 3: Cross multiply
    23,091.75x = 33,372 × 33,372
  4. Step 4: Simplify right side
    23,091.75x = 1,113,690,384
  5. Step 5: Solve for x
    x = 1,113,690,384/23,091.75
  6. Step 6: Final answer
    x = 48,228.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.