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Finding the Third Proportional to 44,497 and 68,876

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Solution

The third proportional to 44,497 and 68,876 is: 106,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,497 : 68,876 = 68,876 : x
  2. Step 2: Convert to fraction form
    44,497/68,876 = 68,876/x
  3. Step 3: Cross multiply
    44,497x = 68,876 × 68,876
  4. Step 4: Simplify right side
    44,497x = 4,743,903,376
  5. Step 5: Solve for x
    x = 4,743,903,376/44,497
  6. Step 6: Final answer
    x = 106,611.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.