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Finding the Third Proportional to 21,517 and 32,599

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Solution

The third proportional to 21,517 and 32,599 is: 49,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 32,599 = 32,599 : x
  2. Step 2: Convert to fraction form
    21,517/32,599 = 32,599/x
  3. Step 3: Cross multiply
    21,517x = 32,599 × 32,599
  4. Step 4: Simplify right side
    21,517x = 1,062,694,801
  5. Step 5: Solve for x
    x = 1,062,694,801/21,517
  6. Step 6: Final answer
    x = 49,388.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.