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Finding the Third Proportional to 33,670.45 and 73,252.43

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Solution

The third proportional to 33,670.45 and 73,252.43 is: 159,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670.45 : 73,252.43 = 73,252.43 : x
  2. Step 2: Convert to fraction form
    33,670.45/73,252.43 = 73,252.43/x
  3. Step 3: Cross multiply
    33,670.45x = 73,252.43 × 73,252.43
  4. Step 4: Simplify right side
    33,670.45x = 5,365,918,455.12
  5. Step 5: Solve for x
    x = 5,365,918,455.12/33,670.45
  6. Step 6: Final answer
    x = 159,365.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.