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Finding the Third Proportional to 43,924 and 65,766

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Solution

The third proportional to 43,924 and 65,766 is: 98,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,924 : 65,766 = 65,766 : x
  2. Step 2: Convert to fraction form
    43,924/65,766 = 65,766/x
  3. Step 3: Cross multiply
    43,924x = 65,766 × 65,766
  4. Step 4: Simplify right side
    43,924x = 4,325,166,756
  5. Step 5: Solve for x
    x = 4,325,166,756/43,924
  6. Step 6: Final answer
    x = 98,469.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.