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Finding the Third Proportional to 23,723 and 51,121

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Solution

The third proportional to 23,723 and 51,121 is: 110,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723 : 51,121 = 51,121 : x
  2. Step 2: Convert to fraction form
    23,723/51,121 = 51,121/x
  3. Step 3: Cross multiply
    23,723x = 51,121 × 51,121
  4. Step 4: Simplify right side
    23,723x = 2,613,356,641
  5. Step 5: Solve for x
    x = 2,613,356,641/23,723
  6. Step 6: Final answer
    x = 110,161.31

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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.