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Finding the Third Proportional to 36,321.50 and 55,538.50

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Solution

The third proportional to 36,321.50 and 55,538.50 is: 84,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,321.50 : 55,538.50 = 55,538.50 : x
  2. Step 2: Convert to fraction form
    36,321.50/55,538.50 = 55,538.50/x
  3. Step 3: Cross multiply
    36,321.50x = 55,538.50 × 55,538.50
  4. Step 4: Simplify right side
    36,321.50x = 3,084,524,982.25
  5. Step 5: Solve for x
    x = 3,084,524,982.25/36,321.50
  6. Step 6: Final answer
    x = 84,922.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.