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Finding the Third Proportional to 36,393 and 54,640.50

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Solution

The third proportional to 36,393 and 54,640.50 is: 82,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,393 : 54,640.50 = 54,640.50 : x
  2. Step 2: Convert to fraction form
    36,393/54,640.50 = 54,640.50/x
  3. Step 3: Cross multiply
    36,393x = 54,640.50 × 54,640.50
  4. Step 4: Simplify right side
    36,393x = 2,985,584,240.25
  5. Step 5: Solve for x
    x = 2,985,584,240.25/36,393
  6. Step 6: Final answer
    x = 82,037.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.