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Finding the Third Proportional to 33,609.50 and 73,146

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Solution

The third proportional to 33,609.50 and 73,146 is: 159,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.50 : 73,146 = 73,146 : x
  2. Step 2: Convert to fraction form
    33,609.50/73,146 = 73,146/x
  3. Step 3: Cross multiply
    33,609.50x = 73,146 × 73,146
  4. Step 4: Simplify right side
    33,609.50x = 5,350,337,316
  5. Step 5: Solve for x
    x = 5,350,337,316/33,609.50
  6. Step 6: Final answer
    x = 159,191.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.