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Finding the Third Proportional to 20,509 and 44,161

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Solution

The third proportional to 20,509 and 44,161 is: 95,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509 : 44,161 = 44,161 : x
  2. Step 2: Convert to fraction form
    20,509/44,161 = 44,161/x
  3. Step 3: Cross multiply
    20,509x = 44,161 × 44,161
  4. Step 4: Simplify right side
    20,509x = 1,950,193,921
  5. Step 5: Solve for x
    x = 1,950,193,921/20,509
  6. Step 6: Final answer
    x = 95,089.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.