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Finding the Third Proportional to 9,186 and 9,922

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Solution

The third proportional to 9,186 and 9,922 is: 10,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 9,922 = 9,922 : x
  2. Step 2: Convert to fraction form
    9,186/9,922 = 9,922/x
  3. Step 3: Cross multiply
    9,186x = 9,922 × 9,922
  4. Step 4: Simplify right side
    9,186x = 98,446,084
  5. Step 5: Solve for x
    x = 98,446,084/9,186
  6. Step 6: Final answer
    x = 10,716.97

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.