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Finding the Third Proportional to 20,576 and 29,136

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Solution

The third proportional to 20,576 and 29,136 is: 41,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576 : 29,136 = 29,136 : x
  2. Step 2: Convert to fraction form
    20,576/29,136 = 29,136/x
  3. Step 3: Cross multiply
    20,576x = 29,136 × 29,136
  4. Step 4: Simplify right side
    20,576x = 848,906,496
  5. Step 5: Solve for x
    x = 848,906,496/20,576
  6. Step 6: Final answer
    x = 41,257.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.