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Finding the Third Proportional to 7,999 and 9,439

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Solution

The third proportional to 7,999 and 9,439 is: 11,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999 : 9,439 = 9,439 : x
  2. Step 2: Convert to fraction form
    7,999/9,439 = 9,439/x
  3. Step 3: Cross multiply
    7,999x = 9,439 × 9,439
  4. Step 4: Simplify right side
    7,999x = 89,094,721
  5. Step 5: Solve for x
    x = 89,094,721/7,999
  6. Step 6: Final answer
    x = 11,138.23

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.