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Finding the Third Proportional to 23,193 and 50,718

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Solution

The third proportional to 23,193 and 50,718 is: 110,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 50,718 = 50,718 : x
  2. Step 2: Convert to fraction form
    23,193/50,718 = 50,718/x
  3. Step 3: Cross multiply
    23,193x = 50,718 × 50,718
  4. Step 4: Simplify right side
    23,193x = 2,572,315,524
  5. Step 5: Solve for x
    x = 2,572,315,524/23,193
  6. Step 6: Final answer
    x = 110,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.