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Finding the Third Proportional to 37,912.50 and 80,739

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Solution

The third proportional to 37,912.50 and 80,739 is: 171,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,912.50 : 80,739 = 80,739 : x
  2. Step 2: Convert to fraction form
    37,912.50/80,739 = 80,739/x
  3. Step 3: Cross multiply
    37,912.50x = 80,739 × 80,739
  4. Step 4: Simplify right side
    37,912.50x = 6,518,786,121
  5. Step 5: Solve for x
    x = 6,518,786,121/37,912.50
  6. Step 6: Final answer
    x = 171,942.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.