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Finding the Third Proportional to 12,027 and 27,843

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Solution

The third proportional to 12,027 and 27,843 is: 64,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 27,843 = 27,843 : x
  2. Step 2: Convert to fraction form
    12,027/27,843 = 27,843/x
  3. Step 3: Cross multiply
    12,027x = 27,843 × 27,843
  4. Step 4: Simplify right side
    12,027x = 775,232,649
  5. Step 5: Solve for x
    x = 775,232,649/12,027
  6. Step 6: Final answer
    x = 64,457.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.