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Finding the Third Proportional to 20,121 and 44,049

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Solution

The third proportional to 20,121 and 44,049 is: 96,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 44,049 = 44,049 : x
  2. Step 2: Convert to fraction form
    20,121/44,049 = 44,049/x
  3. Step 3: Cross multiply
    20,121x = 44,049 × 44,049
  4. Step 4: Simplify right side
    20,121x = 1,940,314,401
  5. Step 5: Solve for x
    x = 1,940,314,401/20,121
  6. Step 6: Final answer
    x = 96,432.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.