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Finding the Third Proportional to 36,729 and 57,040.50

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Solution

The third proportional to 36,729 and 57,040.50 is: 88,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,729 : 57,040.50 = 57,040.50 : x
  2. Step 2: Convert to fraction form
    36,729/57,040.50 = 57,040.50/x
  3. Step 3: Cross multiply
    36,729x = 57,040.50 × 57,040.50
  4. Step 4: Simplify right side
    36,729x = 3,253,618,640.25
  5. Step 5: Solve for x
    x = 3,253,618,640.25/36,729
  6. Step 6: Final answer
    x = 88,584.46

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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.