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Finding the Third Proportional to 47,077 and 65,847

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Solution

The third proportional to 47,077 and 65,847 is: 92,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,077 : 65,847 = 65,847 : x
  2. Step 2: Convert to fraction form
    47,077/65,847 = 65,847/x
  3. Step 3: Cross multiply
    47,077x = 65,847 × 65,847
  4. Step 4: Simplify right side
    47,077x = 4,335,827,409
  5. Step 5: Solve for x
    x = 4,335,827,409/47,077
  6. Step 6: Final answer
    x = 92,100.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.