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Finding the Third Proportional to 10,596 and 22,599

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Solution

The third proportional to 10,596 and 22,599 is: 48,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596 : 22,599 = 22,599 : x
  2. Step 2: Convert to fraction form
    10,596/22,599 = 22,599/x
  3. Step 3: Cross multiply
    10,596x = 22,599 × 22,599
  4. Step 4: Simplify right side
    10,596x = 510,714,801
  5. Step 5: Solve for x
    x = 510,714,801/10,596
  6. Step 6: Final answer
    x = 48,198.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.