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Finding the Third Proportional to 3,847 and 5,881.50

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Solution

The third proportional to 3,847 and 5,881.50 is: 8,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,881.50 = 5,881.50 : x
  2. Step 2: Convert to fraction form
    3,847/5,881.50 = 5,881.50/x
  3. Step 3: Cross multiply
    3,847x = 5,881.50 × 5,881.50
  4. Step 4: Simplify right side
    3,847x = 34,592,042.25
  5. Step 5: Solve for x
    x = 34,592,042.25/3,847
  6. Step 6: Final answer
    x = 8,991.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.