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Finding the Third Proportional to 26,590 and 41,167

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Solution

The third proportional to 26,590 and 41,167 is: 63,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,590 : 41,167 = 41,167 : x
  2. Step 2: Convert to fraction form
    26,590/41,167 = 41,167/x
  3. Step 3: Cross multiply
    26,590x = 41,167 × 41,167
  4. Step 4: Simplify right side
    26,590x = 1,694,721,889
  5. Step 5: Solve for x
    x = 1,694,721,889/26,590
  6. Step 6: Final answer
    x = 63,735.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.