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Finding the Third Proportional to 43,479 and 65,961

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Solution

The third proportional to 43,479 and 65,961 is: 100,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,479 : 65,961 = 65,961 : x
  2. Step 2: Convert to fraction form
    43,479/65,961 = 65,961/x
  3. Step 3: Cross multiply
    43,479x = 65,961 × 65,961
  4. Step 4: Simplify right side
    43,479x = 4,350,853,521
  5. Step 5: Solve for x
    x = 4,350,853,521/43,479
  6. Step 6: Final answer
    x = 100,067.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.