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Finding the Third Proportional to 37,027.50 and 80,625

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Solution

The third proportional to 37,027.50 and 80,625 is: 175,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.50 : 80,625 = 80,625 : x
  2. Step 2: Convert to fraction form
    37,027.50/80,625 = 80,625/x
  3. Step 3: Cross multiply
    37,027.50x = 80,625 × 80,625
  4. Step 4: Simplify right side
    37,027.50x = 6,500,390,625
  5. Step 5: Solve for x
    x = 6,500,390,625/37,027.50
  6. Step 6: Final answer
    x = 175,555.75

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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.