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Finding the Third Proportional to 41,322 and 65,675

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Solution

The third proportional to 41,322 and 65,675 is: 104,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322 : 65,675 = 65,675 : x
  2. Step 2: Convert to fraction form
    41,322/65,675 = 65,675/x
  3. Step 3: Cross multiply
    41,322x = 65,675 × 65,675
  4. Step 4: Simplify right side
    41,322x = 4,313,205,625
  5. Step 5: Solve for x
    x = 4,313,205,625/41,322
  6. Step 6: Final answer
    x = 104,380.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.