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Finding the Third Proportional to 26,589 and 37,179

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Solution

The third proportional to 26,589 and 37,179 is: 51,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589 : 37,179 = 37,179 : x
  2. Step 2: Convert to fraction form
    26,589/37,179 = 37,179/x
  3. Step 3: Cross multiply
    26,589x = 37,179 × 37,179
  4. Step 4: Simplify right side
    26,589x = 1,382,278,041
  5. Step 5: Solve for x
    x = 1,382,278,041/26,589
  6. Step 6: Final answer
    x = 51,986.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.