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Finding the Third Proportional to 33,908.91 and 73,655.58

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Solution

The third proportional to 33,908.91 and 73,655.58 is: 159,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,908.91 : 73,655.58 = 73,655.58 : x
  2. Step 2: Convert to fraction form
    33,908.91/73,655.58 = 73,655.58/x
  3. Step 3: Cross multiply
    33,908.91x = 73,655.58 × 73,655.58
  4. Step 4: Simplify right side
    33,908.91x = 5,425,144,188.93
  5. Step 5: Solve for x
    x = 5,425,144,188.93/33,908.91
  6. Step 6: Final answer
    x = 159,991.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.