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Finding the Third Proportional to 12,774 and 27,093

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Solution

The third proportional to 12,774 and 27,093 is: 57,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 27,093 = 27,093 : x
  2. Step 2: Convert to fraction form
    12,774/27,093 = 27,093/x
  3. Step 3: Cross multiply
    12,774x = 27,093 × 27,093
  4. Step 4: Simplify right side
    12,774x = 734,030,649
  5. Step 5: Solve for x
    x = 734,030,649/12,774
  6. Step 6: Final answer
    x = 57,462.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.