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Finding the Third Proportional to 23,789 and 50,872

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Solution

The third proportional to 23,789 and 50,872 is: 108,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789 : 50,872 = 50,872 : x
  2. Step 2: Convert to fraction form
    23,789/50,872 = 50,872/x
  3. Step 3: Cross multiply
    23,789x = 50,872 × 50,872
  4. Step 4: Simplify right side
    23,789x = 2,587,960,384
  5. Step 5: Solve for x
    x = 2,587,960,384/23,789
  6. Step 6: Final answer
    x = 108,788.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.