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Finding the Third Proportional to 21,577 and 44,198

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Solution

The third proportional to 21,577 and 44,198 is: 90,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577 : 44,198 = 44,198 : x
  2. Step 2: Convert to fraction form
    21,577/44,198 = 44,198/x
  3. Step 3: Cross multiply
    21,577x = 44,198 × 44,198
  4. Step 4: Simplify right side
    21,577x = 1,953,463,204
  5. Step 5: Solve for x
    x = 1,953,463,204/21,577
  6. Step 6: Final answer
    x = 90,534.51

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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.