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Finding the Third Proportional to 7,969 and 12,083

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Solution

The third proportional to 7,969 and 12,083 is: 18,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969 : 12,083 = 12,083 : x
  2. Step 2: Convert to fraction form
    7,969/12,083 = 12,083/x
  3. Step 3: Cross multiply
    7,969x = 12,083 × 12,083
  4. Step 4: Simplify right side
    7,969x = 145,998,889
  5. Step 5: Solve for x
    x = 145,998,889/7,969
  6. Step 6: Final answer
    x = 18,320.85

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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.