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Finding the Third Proportional to 33,537.80 and 73,380.94

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Solution

The third proportional to 33,537.80 and 73,380.94 is: 160,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.80 : 73,380.94 = 73,380.94 : x
  2. Step 2: Convert to fraction form
    33,537.80/73,380.94 = 73,380.94/x
  3. Step 3: Cross multiply
    33,537.80x = 73,380.94 × 73,380.94
  4. Step 4: Simplify right side
    33,537.80x = 5,384,761,988.38
  5. Step 5: Solve for x
    x = 5,384,761,988.38/33,537.80
  6. Step 6: Final answer
    x = 160,558.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.