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Finding the Third Proportional to 6,975 and 15,183

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Solution

The third proportional to 6,975 and 15,183 is: 33,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 15,183 = 15,183 : x
  2. Step 2: Convert to fraction form
    6,975/15,183 = 15,183/x
  3. Step 3: Cross multiply
    6,975x = 15,183 × 15,183
  4. Step 4: Simplify right side
    6,975x = 230,523,489
  5. Step 5: Solve for x
    x = 230,523,489/6,975
  6. Step 6: Final answer
    x = 33,049.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.