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Finding the Third Proportional to 37,231.88 and 80,718.75

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Solution

The third proportional to 37,231.88 and 80,718.75 is: 174,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231.88 : 80,718.75 = 80,718.75 : x
  2. Step 2: Convert to fraction form
    37,231.88/80,718.75 = 80,718.75/x
  3. Step 3: Cross multiply
    37,231.88x = 80,718.75 × 80,718.75
  4. Step 4: Simplify right side
    37,231.88x = 6,515,516,601.56
  5. Step 5: Solve for x
    x = 6,515,516,601.56/37,231.88
  6. Step 6: Final answer
    x = 174,998.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.