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Finding the Third Proportional to 33,484.50 and 73,665

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Solution

The third proportional to 33,484.50 and 73,665 is: 162,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484.50 : 73,665 = 73,665 : x
  2. Step 2: Convert to fraction form
    33,484.50/73,665 = 73,665/x
  3. Step 3: Cross multiply
    33,484.50x = 73,665 × 73,665
  4. Step 4: Simplify right side
    33,484.50x = 5,426,532,225
  5. Step 5: Solve for x
    x = 5,426,532,225/33,484.50
  6. Step 6: Final answer
    x = 162,061.02

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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.