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Finding the Third Proportional to 11,906 and 24,136

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Solution

The third proportional to 11,906 and 24,136 is: 48,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906 : 24,136 = 24,136 : x
  2. Step 2: Convert to fraction form
    11,906/24,136 = 24,136/x
  3. Step 3: Cross multiply
    11,906x = 24,136 × 24,136
  4. Step 4: Simplify right side
    11,906x = 582,546,496
  5. Step 5: Solve for x
    x = 582,546,496/11,906
  6. Step 6: Final answer
    x = 48,928.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.