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Finding the Third Proportional to 37,991 and 60,267

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Solution

The third proportional to 37,991 and 60,267 is: 95,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991 : 60,267 = 60,267 : x
  2. Step 2: Convert to fraction form
    37,991/60,267 = 60,267/x
  3. Step 3: Cross multiply
    37,991x = 60,267 × 60,267
  4. Step 4: Simplify right side
    37,991x = 3,632,111,289
  5. Step 5: Solve for x
    x = 3,632,111,289/37,991
  6. Step 6: Final answer
    x = 95,604.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.