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Finding the Third Proportional to 12,849 and 23,016

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Solution

The third proportional to 12,849 and 23,016 is: 41,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849 : 23,016 = 23,016 : x
  2. Step 2: Convert to fraction form
    12,849/23,016 = 23,016/x
  3. Step 3: Cross multiply
    12,849x = 23,016 × 23,016
  4. Step 4: Simplify right side
    12,849x = 529,736,256
  5. Step 5: Solve for x
    x = 529,736,256/12,849
  6. Step 6: Final answer
    x = 41,227.82

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.