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Finding the Third Proportional to 26,405 and 54,041

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Solution

The third proportional to 26,405 and 54,041 is: 110,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405 : 54,041 = 54,041 : x
  2. Step 2: Convert to fraction form
    26,405/54,041 = 54,041/x
  3. Step 3: Cross multiply
    26,405x = 54,041 × 54,041
  4. Step 4: Simplify right side
    26,405x = 2,920,429,681
  5. Step 5: Solve for x
    x = 2,920,429,681/26,405
  6. Step 6: Final answer
    x = 110,601.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.