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Finding the Third Proportional to 36,222.75 and 55,968.75

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Solution

The third proportional to 36,222.75 and 55,968.75 is: 86,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.75 : 55,968.75 = 55,968.75 : x
  2. Step 2: Convert to fraction form
    36,222.75/55,968.75 = 55,968.75/x
  3. Step 3: Cross multiply
    36,222.75x = 55,968.75 × 55,968.75
  4. Step 4: Simplify right side
    36,222.75x = 3,132,500,976.56
  5. Step 5: Solve for x
    x = 3,132,500,976.56/36,222.75
  6. Step 6: Final answer
    x = 86,478.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.