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Finding the Third Proportional to 23,249.25 and 33,780.38

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Solution

The third proportional to 23,249.25 and 33,780.38 is: 49,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.25 : 33,780.38 = 33,780.38 : x
  2. Step 2: Convert to fraction form
    23,249.25/33,780.38 = 33,780.38/x
  3. Step 3: Cross multiply
    23,249.25x = 33,780.38 × 33,780.38
  4. Step 4: Simplify right side
    23,249.25x = 1,141,113,735.14
  5. Step 5: Solve for x
    x = 1,141,113,735.14/23,249.25
  6. Step 6: Final answer
    x = 49,081.74

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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.