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Finding the Third Proportional to 18,905 and 41,401

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Solution

The third proportional to 18,905 and 41,401 is: 90,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905 : 41,401 = 41,401 : x
  2. Step 2: Convert to fraction form
    18,905/41,401 = 41,401/x
  3. Step 3: Cross multiply
    18,905x = 41,401 × 41,401
  4. Step 4: Simplify right side
    18,905x = 1,714,042,801
  5. Step 5: Solve for x
    x = 1,714,042,801/18,905
  6. Step 6: Final answer
    x = 90,666.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.