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Finding the Third Proportional to 37,844 and 81,462

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Solution

The third proportional to 37,844 and 81,462 is: 175,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844 : 81,462 = 81,462 : x
  2. Step 2: Convert to fraction form
    37,844/81,462 = 81,462/x
  3. Step 3: Cross multiply
    37,844x = 81,462 × 81,462
  4. Step 4: Simplify right side
    37,844x = 6,636,057,444
  5. Step 5: Solve for x
    x = 6,636,057,444/37,844
  6. Step 6: Final answer
    x = 175,352.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.