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Finding the Third Proportional to 26,638 and 57,427

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Solution

The third proportional to 26,638 and 57,427 is: 123,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638 : 57,427 = 57,427 : x
  2. Step 2: Convert to fraction form
    26,638/57,427 = 57,427/x
  3. Step 3: Cross multiply
    26,638x = 57,427 × 57,427
  4. Step 4: Simplify right side
    26,638x = 3,297,860,329
  5. Step 5: Solve for x
    x = 3,297,860,329/26,638
  6. Step 6: Final answer
    x = 123,802.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.