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Finding the Third Proportional to 47,027 and 72,847

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Solution

The third proportional to 47,027 and 72,847 is: 112,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,027 : 72,847 = 72,847 : x
  2. Step 2: Convert to fraction form
    47,027/72,847 = 72,847/x
  3. Step 3: Cross multiply
    47,027x = 72,847 × 72,847
  4. Step 4: Simplify right side
    47,027x = 5,306,685,409
  5. Step 5: Solve for x
    x = 5,306,685,409/47,027
  6. Step 6: Final answer
    x = 112,843.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.