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Finding the Third Proportional to 40,847 and 55,436.50

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Solution

The third proportional to 40,847 and 55,436.50 is: 75,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,847 : 55,436.50 = 55,436.50 : x
  2. Step 2: Convert to fraction form
    40,847/55,436.50 = 55,436.50/x
  3. Step 3: Cross multiply
    40,847x = 55,436.50 × 55,436.50
  4. Step 4: Simplify right side
    40,847x = 3,073,205,532.25
  5. Step 5: Solve for x
    x = 3,073,205,532.25/40,847
  6. Step 6: Final answer
    x = 75,236.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.