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Finding the Third Proportional to 41,840 and 65,234

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Solution

The third proportional to 41,840 and 65,234 is: 101,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,840 : 65,234 = 65,234 : x
  2. Step 2: Convert to fraction form
    41,840/65,234 = 65,234/x
  3. Step 3: Cross multiply
    41,840x = 65,234 × 65,234
  4. Step 4: Simplify right side
    41,840x = 4,255,474,756
  5. Step 5: Solve for x
    x = 4,255,474,756/41,840
  6. Step 6: Final answer
    x = 101,708.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.