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Finding the Third Proportional to 33,817.50 and 72,325.13

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Solution

The third proportional to 33,817.50 and 72,325.13 is: 154,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,817.50 : 72,325.13 = 72,325.13 : x
  2. Step 2: Convert to fraction form
    33,817.50/72,325.13 = 72,325.13/x
  3. Step 3: Cross multiply
    33,817.50x = 72,325.13 × 72,325.13
  4. Step 4: Simplify right side
    33,817.50x = 5,230,923,706.27
  5. Step 5: Solve for x
    x = 5,230,923,706.27/33,817.50
  6. Step 6: Final answer
    x = 154,680.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.