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Finding the Third Proportional to 11,176.50 and 22,067.25

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Solution

The third proportional to 11,176.50 and 22,067.25 is: 43,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.50 : 22,067.25 = 22,067.25 : x
  2. Step 2: Convert to fraction form
    11,176.50/22,067.25 = 22,067.25/x
  3. Step 3: Cross multiply
    11,176.50x = 22,067.25 × 22,067.25
  4. Step 4: Simplify right side
    11,176.50x = 486,963,522.56
  5. Step 5: Solve for x
    x = 486,963,522.56/11,176.50
  6. Step 6: Final answer
    x = 43,570.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.