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Finding the Third Proportional to 23,469 and 48,879.50

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Solution

The third proportional to 23,469 and 48,879.50 is: 101,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469 : 48,879.50 = 48,879.50 : x
  2. Step 2: Convert to fraction form
    23,469/48,879.50 = 48,879.50/x
  3. Step 3: Cross multiply
    23,469x = 48,879.50 × 48,879.50
  4. Step 4: Simplify right side
    23,469x = 2,389,205,520.25
  5. Step 5: Solve for x
    x = 2,389,205,520.25/23,469
  6. Step 6: Final answer
    x = 101,802.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.