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Finding the Third Proportional to 17,787.50 and 41,179.50

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Solution

The third proportional to 17,787.50 and 41,179.50 is: 95,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.50 : 41,179.50 = 41,179.50 : x
  2. Step 2: Convert to fraction form
    17,787.50/41,179.50 = 41,179.50/x
  3. Step 3: Cross multiply
    17,787.50x = 41,179.50 × 41,179.50
  4. Step 4: Simplify right side
    17,787.50x = 1,695,751,220.25
  5. Step 5: Solve for x
    x = 1,695,751,220.25/17,787.50
  6. Step 6: Final answer
    x = 95,333.87

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.