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Finding the Third Proportional to 18,927 and 40,741

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Solution

The third proportional to 18,927 and 40,741 is: 87,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,927 : 40,741 = 40,741 : x
  2. Step 2: Convert to fraction form
    18,927/40,741 = 40,741/x
  3. Step 3: Cross multiply
    18,927x = 40,741 × 40,741
  4. Step 4: Simplify right side
    18,927x = 1,659,829,081
  5. Step 5: Solve for x
    x = 1,659,829,081/18,927
  6. Step 6: Final answer
    x = 87,696.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.