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Finding the Third Proportional to 26,605 and 54,425

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Solution

The third proportional to 26,605 and 54,425 is: 111,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605 : 54,425 = 54,425 : x
  2. Step 2: Convert to fraction form
    26,605/54,425 = 54,425/x
  3. Step 3: Cross multiply
    26,605x = 54,425 × 54,425
  4. Step 4: Simplify right side
    26,605x = 2,962,080,625
  5. Step 5: Solve for x
    x = 2,962,080,625/26,605
  6. Step 6: Final answer
    x = 111,335.49

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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.