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Finding the Third Proportional to 20,783 and 44,847

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Solution

The third proportional to 20,783 and 44,847 is: 96,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783 : 44,847 = 44,847 : x
  2. Step 2: Convert to fraction form
    20,783/44,847 = 44,847/x
  3. Step 3: Cross multiply
    20,783x = 44,847 × 44,847
  4. Step 4: Simplify right side
    20,783x = 2,011,253,409
  5. Step 5: Solve for x
    x = 2,011,253,409/20,783
  6. Step 6: Final answer
    x = 96,773.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.