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Finding the Third Proportional to 22,879 and 50,132

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Solution

The third proportional to 22,879 and 50,132 is: 109,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879 : 50,132 = 50,132 : x
  2. Step 2: Convert to fraction form
    22,879/50,132 = 50,132/x
  3. Step 3: Cross multiply
    22,879x = 50,132 × 50,132
  4. Step 4: Simplify right side
    22,879x = 2,513,217,424
  5. Step 5: Solve for x
    x = 2,513,217,424/22,879
  6. Step 6: Final answer
    x = 109,848.22

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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.