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Finding the Third Proportional to 36,121.50 and 57,642.75

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Solution

The third proportional to 36,121.50 and 57,642.75 is: 91,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,121.50 : 57,642.75 = 57,642.75 : x
  2. Step 2: Convert to fraction form
    36,121.50/57,642.75 = 57,642.75/x
  3. Step 3: Cross multiply
    36,121.50x = 57,642.75 × 57,642.75
  4. Step 4: Simplify right side
    36,121.50x = 3,322,686,627.56
  5. Step 5: Solve for x
    x = 3,322,686,627.56/36,121.50
  6. Step 6: Final answer
    x = 91,986.40

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.