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Finding the Third Proportional to 8,997.75 and 13,682.25

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Solution

The third proportional to 8,997.75 and 13,682.25 is: 20,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.75 : 13,682.25 = 13,682.25 : x
  2. Step 2: Convert to fraction form
    8,997.75/13,682.25 = 13,682.25/x
  3. Step 3: Cross multiply
    8,997.75x = 13,682.25 × 13,682.25
  4. Step 4: Simplify right side
    8,997.75x = 187,203,965.06
  5. Step 5: Solve for x
    x = 187,203,965.06/8,997.75
  6. Step 6: Final answer
    x = 20,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.