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Finding the Third Proportional to 37,861.50 and 80,331

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Solution

The third proportional to 37,861.50 and 80,331 is: 170,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,861.50 : 80,331 = 80,331 : x
  2. Step 2: Convert to fraction form
    37,861.50/80,331 = 80,331/x
  3. Step 3: Cross multiply
    37,861.50x = 80,331 × 80,331
  4. Step 4: Simplify right side
    37,861.50x = 6,453,069,561
  5. Step 5: Solve for x
    x = 6,453,069,561/37,861.50
  6. Step 6: Final answer
    x = 170,438.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.