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Finding the Third Proportional to 41,144 and 55,756

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Solution

The third proportional to 41,144 and 55,756 is: 75,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144 : 55,756 = 55,756 : x
  2. Step 2: Convert to fraction form
    41,144/55,756 = 55,756/x
  3. Step 3: Cross multiply
    41,144x = 55,756 × 55,756
  4. Step 4: Simplify right side
    41,144x = 3,108,731,536
  5. Step 5: Solve for x
    x = 3,108,731,536/41,144
  6. Step 6: Final answer
    x = 75,557.35

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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.