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Finding the Third Proportional to 37,463 and 82,081

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Solution

The third proportional to 37,463 and 82,081 is: 179,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463 : 82,081 = 82,081 : x
  2. Step 2: Convert to fraction form
    37,463/82,081 = 82,081/x
  3. Step 3: Cross multiply
    37,463x = 82,081 × 82,081
  4. Step 4: Simplify right side
    37,463x = 6,737,290,561
  5. Step 5: Solve for x
    x = 6,737,290,561/37,463
  6. Step 6: Final answer
    x = 179,838.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.