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Finding the Third Proportional to 26,162 and 37,377

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Solution

The third proportional to 26,162 and 37,377 is: 53,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,162 : 37,377 = 37,377 : x
  2. Step 2: Convert to fraction form
    26,162/37,377 = 37,377/x
  3. Step 3: Cross multiply
    26,162x = 37,377 × 37,377
  4. Step 4: Simplify right side
    26,162x = 1,397,040,129
  5. Step 5: Solve for x
    x = 1,397,040,129/26,162
  6. Step 6: Final answer
    x = 53,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.