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Finding the Third Proportional to 20,831 and 44,638

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Solution

The third proportional to 20,831 and 44,638 is: 95,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831 : 44,638 = 44,638 : x
  2. Step 2: Convert to fraction form
    20,831/44,638 = 44,638/x
  3. Step 3: Cross multiply
    20,831x = 44,638 × 44,638
  4. Step 4: Simplify right side
    20,831x = 1,992,551,044
  5. Step 5: Solve for x
    x = 1,992,551,044/20,831
  6. Step 6: Final answer
    x = 95,653.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.