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Finding the Third Proportional to 18,340 and 27,077

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Solution

The third proportional to 18,340 and 27,077 is: 39,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340 : 27,077 = 27,077 : x
  2. Step 2: Convert to fraction form
    18,340/27,077 = 27,077/x
  3. Step 3: Cross multiply
    18,340x = 27,077 × 27,077
  4. Step 4: Simplify right side
    18,340x = 733,163,929
  5. Step 5: Solve for x
    x = 733,163,929/18,340
  6. Step 6: Final answer
    x = 39,976.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.