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Finding the Third Proportional to 26,364 and 41,059

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Solution

The third proportional to 26,364 and 41,059 is: 63,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,364 : 41,059 = 41,059 : x
  2. Step 2: Convert to fraction form
    26,364/41,059 = 41,059/x
  3. Step 3: Cross multiply
    26,364x = 41,059 × 41,059
  4. Step 4: Simplify right side
    26,364x = 1,685,841,481
  5. Step 5: Solve for x
    x = 1,685,841,481/26,364
  6. Step 6: Final answer
    x = 63,944.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.