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Finding the Third Proportional to 26,733 and 41,559

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Solution

The third proportional to 26,733 and 41,559 is: 64,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,733 : 41,559 = 41,559 : x
  2. Step 2: Convert to fraction form
    26,733/41,559 = 41,559/x
  3. Step 3: Cross multiply
    26,733x = 41,559 × 41,559
  4. Step 4: Simplify right side
    26,733x = 1,727,150,481
  5. Step 5: Solve for x
    x = 1,727,150,481/26,733
  6. Step 6: Final answer
    x = 64,607.43

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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.