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Finding the Third Proportional to 12,904 and 22,375

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Solution

The third proportional to 12,904 and 22,375 is: 38,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904 : 22,375 = 22,375 : x
  2. Step 2: Convert to fraction form
    12,904/22,375 = 22,375/x
  3. Step 3: Cross multiply
    12,904x = 22,375 × 22,375
  4. Step 4: Simplify right side
    12,904x = 500,640,625
  5. Step 5: Solve for x
    x = 500,640,625/12,904
  6. Step 6: Final answer
    x = 38,797.32

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.