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Finding the Third Proportional to 37,390 and 80,650.50

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Solution

The third proportional to 37,390 and 80,650.50 is: 173,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,390 : 80,650.50 = 80,650.50 : x
  2. Step 2: Convert to fraction form
    37,390/80,650.50 = 80,650.50/x
  3. Step 3: Cross multiply
    37,390x = 80,650.50 × 80,650.50
  4. Step 4: Simplify right side
    37,390x = 6,504,503,150.25
  5. Step 5: Solve for x
    x = 6,504,503,150.25/37,390
  6. Step 6: Final answer
    x = 173,963.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.