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Finding the Third Proportional to 37,480.50 and 80,519

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Solution

The third proportional to 37,480.50 and 80,519 is: 172,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,480.50 : 80,519 = 80,519 : x
  2. Step 2: Convert to fraction form
    37,480.50/80,519 = 80,519/x
  3. Step 3: Cross multiply
    37,480.50x = 80,519 × 80,519
  4. Step 4: Simplify right side
    37,480.50x = 6,483,309,361
  5. Step 5: Solve for x
    x = 6,483,309,361/37,480.50
  6. Step 6: Final answer
    x = 172,978.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.