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Finding the Third Proportional to 23,788.50 and 33,414.75

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Solution

The third proportional to 23,788.50 and 33,414.75 is: 46,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.50 : 33,414.75 = 33,414.75 : x
  2. Step 2: Convert to fraction form
    23,788.50/33,414.75 = 33,414.75/x
  3. Step 3: Cross multiply
    23,788.50x = 33,414.75 × 33,414.75
  4. Step 4: Simplify right side
    23,788.50x = 1,116,545,517.56
  5. Step 5: Solve for x
    x = 1,116,545,517.56/23,788.50
  6. Step 6: Final answer
    x = 46,936.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.