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Finding the Third Proportional to 36,628 and 49,756

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Solution

The third proportional to 36,628 and 49,756 is: 67,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,628 : 49,756 = 49,756 : x
  2. Step 2: Convert to fraction form
    36,628/49,756 = 49,756/x
  3. Step 3: Cross multiply
    36,628x = 49,756 × 49,756
  4. Step 4: Simplify right side
    36,628x = 2,475,659,536
  5. Step 5: Solve for x
    x = 2,475,659,536/36,628
  6. Step 6: Final answer
    x = 67,589.26

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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.