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Finding the Third Proportional to 37,622 and 81,727

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Solution

The third proportional to 37,622 and 81,727 is: 177,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622 : 81,727 = 81,727 : x
  2. Step 2: Convert to fraction form
    37,622/81,727 = 81,727/x
  3. Step 3: Cross multiply
    37,622x = 81,727 × 81,727
  4. Step 4: Simplify right side
    37,622x = 6,679,302,529
  5. Step 5: Solve for x
    x = 6,679,302,529/37,622
  6. Step 6: Final answer
    x = 177,537.15

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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.