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Finding the Third Proportional to 11,078 and 20,008

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Solution

The third proportional to 11,078 and 20,008 is: 36,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078 : 20,008 = 20,008 : x
  2. Step 2: Convert to fraction form
    11,078/20,008 = 20,008/x
  3. Step 3: Cross multiply
    11,078x = 20,008 × 20,008
  4. Step 4: Simplify right side
    11,078x = 400,320,064
  5. Step 5: Solve for x
    x = 400,320,064/11,078
  6. Step 6: Final answer
    x = 36,136.49

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.