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Finding the Third Proportional to 13,371 and 20,008

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Solution

The third proportional to 13,371 and 20,008 is: 29,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371 : 20,008 = 20,008 : x
  2. Step 2: Convert to fraction form
    13,371/20,008 = 20,008/x
  3. Step 3: Cross multiply
    13,371x = 20,008 × 20,008
  4. Step 4: Simplify right side
    13,371x = 400,320,064
  5. Step 5: Solve for x
    x = 400,320,064/13,371
  6. Step 6: Final answer
    x = 29,939.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.