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Finding the Third Proportional to 12,774 and 27,249

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Solution

The third proportional to 12,774 and 27,249 is: 58,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 27,249 = 27,249 : x
  2. Step 2: Convert to fraction form
    12,774/27,249 = 27,249/x
  3. Step 3: Cross multiply
    12,774x = 27,249 × 27,249
  4. Step 4: Simplify right side
    12,774x = 742,508,001
  5. Step 5: Solve for x
    x = 742,508,001/12,774
  6. Step 6: Final answer
    x = 58,126.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.