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Finding the Third Proportional to 7,899 and 8,601

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Solution

The third proportional to 7,899 and 8,601 is: 9,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899 : 8,601 = 8,601 : x
  2. Step 2: Convert to fraction form
    7,899/8,601 = 8,601/x
  3. Step 3: Cross multiply
    7,899x = 8,601 × 8,601
  4. Step 4: Simplify right side
    7,899x = 73,977,201
  5. Step 5: Solve for x
    x = 73,977,201/7,899
  6. Step 6: Final answer
    x = 9,365.39

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.