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Finding the Third Proportional to 39,193.50 and 58,879.50

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Solution

The third proportional to 39,193.50 and 58,879.50 is: 88,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,193.50 : 58,879.50 = 58,879.50 : x
  2. Step 2: Convert to fraction form
    39,193.50/58,879.50 = 58,879.50/x
  3. Step 3: Cross multiply
    39,193.50x = 58,879.50 × 58,879.50
  4. Step 4: Simplify right side
    39,193.50x = 3,466,795,520.25
  5. Step 5: Solve for x
    x = 3,466,795,520.25/39,193.50
  6. Step 6: Final answer
    x = 88,453.33

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Why These Related Problems?

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