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Finding the Third Proportional to 37,612.31 and 82,604.44

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Solution

The third proportional to 37,612.31 and 82,604.44 is: 181,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.31 : 82,604.44 = 82,604.44 : x
  2. Step 2: Convert to fraction form
    37,612.31/82,604.44 = 82,604.44/x
  3. Step 3: Cross multiply
    37,612.31x = 82,604.44 × 82,604.44
  4. Step 4: Simplify right side
    37,612.31x = 6,823,493,094.69
  5. Step 5: Solve for x
    x = 6,823,493,094.69/37,612.31
  6. Step 6: Final answer
    x = 181,416.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.