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Finding the Third Proportional to 33,557.63 and 73,676.25

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Solution

The third proportional to 33,557.63 and 73,676.25 is: 161,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,557.63 : 73,676.25 = 73,676.25 : x
  2. Step 2: Convert to fraction form
    33,557.63/73,676.25 = 73,676.25/x
  3. Step 3: Cross multiply
    33,557.63x = 73,676.25 × 73,676.25
  4. Step 4: Simplify right side
    33,557.63x = 5,428,189,814.06
  5. Step 5: Solve for x
    x = 5,428,189,814.06/33,557.63
  6. Step 6: Final answer
    x = 161,757.27

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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.