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Finding the Third Proportional to 37,836 and 81,446

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Solution

The third proportional to 37,836 and 81,446 is: 175,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,836 : 81,446 = 81,446 : x
  2. Step 2: Convert to fraction form
    37,836/81,446 = 81,446/x
  3. Step 3: Cross multiply
    37,836x = 81,446 × 81,446
  4. Step 4: Simplify right side
    37,836x = 6,633,450,916
  5. Step 5: Solve for x
    x = 6,633,450,916/37,836
  6. Step 6: Final answer
    x = 175,321.15

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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.