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Finding the Third Proportional to 26,476 and 41,166

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Solution

The third proportional to 26,476 and 41,166 is: 64,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476 : 41,166 = 41,166 : x
  2. Step 2: Convert to fraction form
    26,476/41,166 = 41,166/x
  3. Step 3: Cross multiply
    26,476x = 41,166 × 41,166
  4. Step 4: Simplify right side
    26,476x = 1,694,639,556
  5. Step 5: Solve for x
    x = 1,694,639,556/26,476
  6. Step 6: Final answer
    x = 64,006.63

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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.