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Finding the Third Proportional to 18,401 and 40,004

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Solution

The third proportional to 18,401 and 40,004 is: 86,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401 : 40,004 = 40,004 : x
  2. Step 2: Convert to fraction form
    18,401/40,004 = 40,004/x
  3. Step 3: Cross multiply
    18,401x = 40,004 × 40,004
  4. Step 4: Simplify right side
    18,401x = 1,600,320,016
  5. Step 5: Solve for x
    x = 1,600,320,016/18,401
  6. Step 6: Final answer
    x = 86,969.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.