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Finding the Third Proportional to 37,586 and 81,733

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Solution

The third proportional to 37,586 and 81,733 is: 177,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586 : 81,733 = 81,733 : x
  2. Step 2: Convert to fraction form
    37,586/81,733 = 81,733/x
  3. Step 3: Cross multiply
    37,586x = 81,733 × 81,733
  4. Step 4: Simplify right side
    37,586x = 6,680,283,289
  5. Step 5: Solve for x
    x = 6,680,283,289/37,586
  6. Step 6: Final answer
    x = 177,733.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.