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Finding the Third Proportional to 20,233 and 44,491

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Solution

The third proportional to 20,233 and 44,491 is: 97,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233 : 44,491 = 44,491 : x
  2. Step 2: Convert to fraction form
    20,233/44,491 = 44,491/x
  3. Step 3: Cross multiply
    20,233x = 44,491 × 44,491
  4. Step 4: Simplify right side
    20,233x = 1,979,449,081
  5. Step 5: Solve for x
    x = 1,979,449,081/20,233
  6. Step 6: Final answer
    x = 97,832.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.