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Finding the Third Proportional to 11,486 and 23,944

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Solution

The third proportional to 11,486 and 23,944 is: 49,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486 : 23,944 = 23,944 : x
  2. Step 2: Convert to fraction form
    11,486/23,944 = 23,944/x
  3. Step 3: Cross multiply
    11,486x = 23,944 × 23,944
  4. Step 4: Simplify right side
    11,486x = 573,315,136
  5. Step 5: Solve for x
    x = 573,315,136/11,486
  6. Step 6: Final answer
    x = 49,914.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.