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Finding the Third Proportional to 37,540.50 and 82,311

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Solution

The third proportional to 37,540.50 and 82,311 is: 180,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,540.50 : 82,311 = 82,311 : x
  2. Step 2: Convert to fraction form
    37,540.50/82,311 = 82,311/x
  3. Step 3: Cross multiply
    37,540.50x = 82,311 × 82,311
  4. Step 4: Simplify right side
    37,540.50x = 6,775,100,721
  5. Step 5: Solve for x
    x = 6,775,100,721/37,540.50
  6. Step 6: Final answer
    x = 180,474.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.