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Finding the Third Proportional to 26,772 and 35,766

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Solution

The third proportional to 26,772 and 35,766 is: 47,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,772 : 35,766 = 35,766 : x
  2. Step 2: Convert to fraction form
    26,772/35,766 = 35,766/x
  3. Step 3: Cross multiply
    26,772x = 35,766 × 35,766
  4. Step 4: Simplify right side
    26,772x = 1,279,206,756
  5. Step 5: Solve for x
    x = 1,279,206,756/26,772
  6. Step 6: Final answer
    x = 47,781.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.