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Finding the Third Proportional to 23,193 and 50,080.50

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Solution

The third proportional to 23,193 and 50,080.50 is: 108,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 50,080.50 = 50,080.50 : x
  2. Step 2: Convert to fraction form
    23,193/50,080.50 = 50,080.50/x
  3. Step 3: Cross multiply
    23,193x = 50,080.50 × 50,080.50
  4. Step 4: Simplify right side
    23,193x = 2,508,056,480.25
  5. Step 5: Solve for x
    x = 2,508,056,480.25/23,193
  6. Step 6: Final answer
    x = 108,138.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.