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Finding the Third Proportional to 20,469 and 44,751

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Solution

The third proportional to 20,469 and 44,751 is: 97,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469 : 44,751 = 44,751 : x
  2. Step 2: Convert to fraction form
    20,469/44,751 = 44,751/x
  3. Step 3: Cross multiply
    20,469x = 44,751 × 44,751
  4. Step 4: Simplify right side
    20,469x = 2,002,652,001
  5. Step 5: Solve for x
    x = 2,002,652,001/20,469
  6. Step 6: Final answer
    x = 97,838.29

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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.