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Finding the Third Proportional to 37,741 and 80,767

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Solution

The third proportional to 37,741 and 80,767 is: 172,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741 : 80,767 = 80,767 : x
  2. Step 2: Convert to fraction form
    37,741/80,767 = 80,767/x
  3. Step 3: Cross multiply
    37,741x = 80,767 × 80,767
  4. Step 4: Simplify right side
    37,741x = 6,523,308,289
  5. Step 5: Solve for x
    x = 6,523,308,289/37,741
  6. Step 6: Final answer
    x = 172,844.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.