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Finding the Third Proportional to 27,380 and 37,992

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Solution

The third proportional to 27,380 and 37,992 is: 52,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380 : 37,992 = 37,992 : x
  2. Step 2: Convert to fraction form
    27,380/37,992 = 37,992/x
  3. Step 3: Cross multiply
    27,380x = 37,992 × 37,992
  4. Step 4: Simplify right side
    27,380x = 1,443,392,064
  5. Step 5: Solve for x
    x = 1,443,392,064/27,380
  6. Step 6: Final answer
    x = 52,717.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.