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Finding the Third Proportional to 10,975 and 17,675

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Solution

The third proportional to 10,975 and 17,675 is: 28,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 17,675 = 17,675 : x
  2. Step 2: Convert to fraction form
    10,975/17,675 = 17,675/x
  3. Step 3: Cross multiply
    10,975x = 17,675 × 17,675
  4. Step 4: Simplify right side
    10,975x = 312,405,625
  5. Step 5: Solve for x
    x = 312,405,625/10,975
  6. Step 6: Final answer
    x = 28,465.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.