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Finding the Third Proportional to 26,792 and 37,756

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Solution

The third proportional to 26,792 and 37,756 is: 53,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,792 : 37,756 = 37,756 : x
  2. Step 2: Convert to fraction form
    26,792/37,756 = 37,756/x
  3. Step 3: Cross multiply
    26,792x = 37,756 × 37,756
  4. Step 4: Simplify right side
    26,792x = 1,425,515,536
  5. Step 5: Solve for x
    x = 1,425,515,536/26,792
  6. Step 6: Final answer
    x = 53,206.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.