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Finding the Third Proportional to 23,697 and 50,879

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Solution

The third proportional to 23,697 and 50,879 is: 109,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697 : 50,879 = 50,879 : x
  2. Step 2: Convert to fraction form
    23,697/50,879 = 50,879/x
  3. Step 3: Cross multiply
    23,697x = 50,879 × 50,879
  4. Step 4: Simplify right side
    23,697x = 2,588,672,641
  5. Step 5: Solve for x
    x = 2,588,672,641/23,697
  6. Step 6: Final answer
    x = 109,240.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.