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Finding the Third Proportional to 36,400.22 and 57,112.59

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Solution

The third proportional to 36,400.22 and 57,112.59 is: 89,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.22 : 57,112.59 = 57,112.59 : x
  2. Step 2: Convert to fraction form
    36,400.22/57,112.59 = 57,112.59/x
  3. Step 3: Cross multiply
    36,400.22x = 57,112.59 × 57,112.59
  4. Step 4: Simplify right side
    36,400.22x = 3,261,848,364.85
  5. Step 5: Solve for x
    x = 3,261,848,364.85/36,400.22
  6. Step 6: Final answer
    x = 89,610.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.