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Finding the Third Proportional to 8,293 and 17,923

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Solution

The third proportional to 8,293 and 17,923 is: 38,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293 : 17,923 = 17,923 : x
  2. Step 2: Convert to fraction form
    8,293/17,923 = 17,923/x
  3. Step 3: Cross multiply
    8,293x = 17,923 × 17,923
  4. Step 4: Simplify right side
    8,293x = 321,233,929
  5. Step 5: Solve for x
    x = 321,233,929/8,293
  6. Step 6: Final answer
    x = 38,735.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.