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Finding the Third Proportional to 36,222.75 and 54,022.50

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Solution

The third proportional to 36,222.75 and 54,022.50 is: 80,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.75 : 54,022.50 = 54,022.50 : x
  2. Step 2: Convert to fraction form
    36,222.75/54,022.50 = 54,022.50/x
  3. Step 3: Cross multiply
    36,222.75x = 54,022.50 × 54,022.50
  4. Step 4: Simplify right side
    36,222.75x = 2,918,430,506.25
  5. Step 5: Solve for x
    x = 2,918,430,506.25/36,222.75
  6. Step 6: Final answer
    x = 80,568.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.