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Finding the Third Proportional to 10,267 and 22,136

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Solution

The third proportional to 10,267 and 22,136 is: 47,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267 : 22,136 = 22,136 : x
  2. Step 2: Convert to fraction form
    10,267/22,136 = 22,136/x
  3. Step 3: Cross multiply
    10,267x = 22,136 × 22,136
  4. Step 4: Simplify right side
    10,267x = 490,002,496
  5. Step 5: Solve for x
    x = 490,002,496/10,267
  6. Step 6: Final answer
    x = 47,725.97

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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.