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Finding the Third Proportional to 10,812 and 20,004

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Solution

The third proportional to 10,812 and 20,004 is: 37,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 20,004 = 20,004 : x
  2. Step 2: Convert to fraction form
    10,812/20,004 = 20,004/x
  3. Step 3: Cross multiply
    10,812x = 20,004 × 20,004
  4. Step 4: Simplify right side
    10,812x = 400,160,016
  5. Step 5: Solve for x
    x = 400,160,016/10,812
  6. Step 6: Final answer
    x = 37,010.73

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.