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Finding the Third Proportional to 3,586 and 5,249

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Solution

The third proportional to 3,586 and 5,249 is: 7,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,249 = 5,249 : x
  2. Step 2: Convert to fraction form
    3,586/5,249 = 5,249/x
  3. Step 3: Cross multiply
    3,586x = 5,249 × 5,249
  4. Step 4: Simplify right side
    3,586x = 27,552,001
  5. Step 5: Solve for x
    x = 27,552,001/3,586
  6. Step 6: Final answer
    x = 7,683.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.