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Finding the Third Proportional to 37,599.19 and 80,273.53

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Solution

The third proportional to 37,599.19 and 80,273.53 is: 171,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,599.19 : 80,273.53 = 80,273.53 : x
  2. Step 2: Convert to fraction form
    37,599.19/80,273.53 = 80,273.53/x
  3. Step 3: Cross multiply
    37,599.19x = 80,273.53 × 80,273.53
  4. Step 4: Simplify right side
    37,599.19x = 6,443,839,819.34
  5. Step 5: Solve for x
    x = 6,443,839,819.34/37,599.19
  6. Step 6: Final answer
    x = 171,382.42

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