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Finding the Third Proportional to 37,832.06 and 82,331.44

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Solution

The third proportional to 37,832.06 and 82,331.44 is: 179,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832.06 : 82,331.44 = 82,331.44 : x
  2. Step 2: Convert to fraction form
    37,832.06/82,331.44 = 82,331.44/x
  3. Step 3: Cross multiply
    37,832.06x = 82,331.44 × 82,331.44
  4. Step 4: Simplify right side
    37,832.06x = 6,778,465,600.82
  5. Step 5: Solve for x
    x = 6,778,465,600.82/37,832.06
  6. Step 6: Final answer
    x = 179,172.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.