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Finding the Third Proportional to 11,085 and 16,975

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Solution

The third proportional to 11,085 and 16,975 is: 25,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085 : 16,975 = 16,975 : x
  2. Step 2: Convert to fraction form
    11,085/16,975 = 16,975/x
  3. Step 3: Cross multiply
    11,085x = 16,975 × 16,975
  4. Step 4: Simplify right side
    11,085x = 288,150,625
  5. Step 5: Solve for x
    x = 288,150,625/11,085
  6. Step 6: Final answer
    x = 25,994.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.