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Finding the Third Proportional to 11,209 and 20,006

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Solution

The third proportional to 11,209 and 20,006 is: 35,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209 : 20,006 = 20,006 : x
  2. Step 2: Convert to fraction form
    11,209/20,006 = 20,006/x
  3. Step 3: Cross multiply
    11,209x = 20,006 × 20,006
  4. Step 4: Simplify right side
    11,209x = 400,240,036
  5. Step 5: Solve for x
    x = 400,240,036/11,209
  6. Step 6: Final answer
    x = 35,707.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.