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Finding the Third Proportional to 33,181.88 and 71,664.56

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Solution

The third proportional to 33,181.88 and 71,664.56 is: 154,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.88 : 71,664.56 = 71,664.56 : x
  2. Step 2: Convert to fraction form
    33,181.88/71,664.56 = 71,664.56/x
  3. Step 3: Cross multiply
    33,181.88x = 71,664.56 × 71,664.56
  4. Step 4: Simplify right side
    33,181.88x = 5,135,809,518.32
  5. Step 5: Solve for x
    x = 5,135,809,518.32/33,181.88
  6. Step 6: Final answer
    x = 154,777.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.