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Finding the Third Proportional to 12,912 and 20,004

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Solution

The third proportional to 12,912 and 20,004 is: 30,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 20,004 = 20,004 : x
  2. Step 2: Convert to fraction form
    12,912/20,004 = 20,004/x
  3. Step 3: Cross multiply
    12,912x = 20,004 × 20,004
  4. Step 4: Simplify right side
    12,912x = 400,160,016
  5. Step 5: Solve for x
    x = 400,160,016/12,912
  6. Step 6: Final answer
    x = 30,991.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.