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Finding the Third Proportional to 33,454.88 and 73,563.56

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Solution

The third proportional to 33,454.88 and 73,563.56 is: 161,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.88 : 73,563.56 = 73,563.56 : x
  2. Step 2: Convert to fraction form
    33,454.88/73,563.56 = 73,563.56/x
  3. Step 3: Cross multiply
    33,454.88x = 73,563.56 × 73,563.56
  4. Step 4: Simplify right side
    33,454.88x = 5,411,597,727.69
  5. Step 5: Solve for x
    x = 5,411,597,727.69/33,454.88
  6. Step 6: Final answer
    x = 161,758.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.