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Finding the Third Proportional to 20,006 and 43,404.50

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Solution

The third proportional to 20,006 and 43,404.50 is: 94,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006 : 43,404.50 = 43,404.50 : x
  2. Step 2: Convert to fraction form
    20,006/43,404.50 = 43,404.50/x
  3. Step 3: Cross multiply
    20,006x = 43,404.50 × 43,404.50
  4. Step 4: Simplify right side
    20,006x = 1,883,950,620.25
  5. Step 5: Solve for x
    x = 1,883,950,620.25/20,006
  6. Step 6: Final answer
    x = 94,169.28

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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.