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Finding the Third Proportional to 7,922 and 17,192

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Solution

The third proportional to 7,922 and 17,192 is: 37,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 17,192 = 17,192 : x
  2. Step 2: Convert to fraction form
    7,922/17,192 = 17,192/x
  3. Step 3: Cross multiply
    7,922x = 17,192 × 17,192
  4. Step 4: Simplify right side
    7,922x = 295,564,864
  5. Step 5: Solve for x
    x = 295,564,864/7,922
  6. Step 6: Final answer
    x = 37,309.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.