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Finding the Third Proportional to 26,161 and 39,137

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Solution

The third proportional to 26,161 and 39,137 is: 58,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161 : 39,137 = 39,137 : x
  2. Step 2: Convert to fraction form
    26,161/39,137 = 39,137/x
  3. Step 3: Cross multiply
    26,161x = 39,137 × 39,137
  4. Step 4: Simplify right side
    26,161x = 1,531,704,769
  5. Step 5: Solve for x
    x = 1,531,704,769/26,161
  6. Step 6: Final answer
    x = 58,549.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.