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Finding the Third Proportional to 41,069 and 47,104

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Solution

The third proportional to 41,069 and 47,104 is: 54,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,069 : 47,104 = 47,104 : x
  2. Step 2: Convert to fraction form
    41,069/47,104 = 47,104/x
  3. Step 3: Cross multiply
    41,069x = 47,104 × 47,104
  4. Step 4: Simplify right side
    41,069x = 2,218,786,816
  5. Step 5: Solve for x
    x = 2,218,786,816/41,069
  6. Step 6: Final answer
    x = 54,025.83

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.