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Finding the Third Proportional to 37,682 and 81,844

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Solution

The third proportional to 37,682 and 81,844 is: 177,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682 : 81,844 = 81,844 : x
  2. Step 2: Convert to fraction form
    37,682/81,844 = 81,844/x
  3. Step 3: Cross multiply
    37,682x = 81,844 × 81,844
  4. Step 4: Simplify right side
    37,682x = 6,698,440,336
  5. Step 5: Solve for x
    x = 6,698,440,336/37,682
  6. Step 6: Final answer
    x = 177,762.34

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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.