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Finding the Third Proportional to 8,189 and 8,891

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Solution

The third proportional to 8,189 and 8,891 is: 9,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189 : 8,891 = 8,891 : x
  2. Step 2: Convert to fraction form
    8,189/8,891 = 8,891/x
  3. Step 3: Cross multiply
    8,189x = 8,891 × 8,891
  4. Step 4: Simplify right side
    8,189x = 79,049,881
  5. Step 5: Solve for x
    x = 79,049,881/8,189
  6. Step 6: Final answer
    x = 9,653.18

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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.