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Finding the Third Proportional to 2,327 and 3,647

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Solution

The third proportional to 2,327 and 3,647 is: 5,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327 : 3,647 = 3,647 : x
  2. Step 2: Convert to fraction form
    2,327/3,647 = 3,647/x
  3. Step 3: Cross multiply
    2,327x = 3,647 × 3,647
  4. Step 4: Simplify right side
    2,327x = 13,300,609
  5. Step 5: Solve for x
    x = 13,300,609/2,327
  6. Step 6: Final answer
    x = 5,715.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.