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Finding the Third Proportional to 12,774 and 27,094

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Solution

The third proportional to 12,774 and 27,094 is: 57,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 27,094 = 27,094 : x
  2. Step 2: Convert to fraction form
    12,774/27,094 = 27,094/x
  3. Step 3: Cross multiply
    12,774x = 27,094 × 27,094
  4. Step 4: Simplify right side
    12,774x = 734,084,836
  5. Step 5: Solve for x
    x = 734,084,836/12,774
  6. Step 6: Final answer
    x = 57,467.11

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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.