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Finding the Third Proportional to 27,194 and 38,296

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Solution

The third proportional to 27,194 and 38,296 is: 53,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 38,296 = 38,296 : x
  2. Step 2: Convert to fraction form
    27,194/38,296 = 38,296/x
  3. Step 3: Cross multiply
    27,194x = 38,296 × 38,296
  4. Step 4: Simplify right side
    27,194x = 1,466,583,616
  5. Step 5: Solve for x
    x = 1,466,583,616/27,194
  6. Step 6: Final answer
    x = 53,930.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.