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Finding the Third Proportional to 7,969 and 12,079

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Solution

The third proportional to 7,969 and 12,079 is: 18,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969 : 12,079 = 12,079 : x
  2. Step 2: Convert to fraction form
    7,969/12,079 = 12,079/x
  3. Step 3: Cross multiply
    7,969x = 12,079 × 12,079
  4. Step 4: Simplify right side
    7,969x = 145,902,241
  5. Step 5: Solve for x
    x = 145,902,241/7,969
  6. Step 6: Final answer
    x = 18,308.73

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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.