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Finding the Third Proportional to 26,174 and 41,116

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Solution

The third proportional to 26,174 and 41,116 is: 64,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174 : 41,116 = 41,116 : x
  2. Step 2: Convert to fraction form
    26,174/41,116 = 41,116/x
  3. Step 3: Cross multiply
    26,174x = 41,116 × 41,116
  4. Step 4: Simplify right side
    26,174x = 1,690,525,456
  5. Step 5: Solve for x
    x = 1,690,525,456/26,174
  6. Step 6: Final answer
    x = 64,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.