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Finding the Third Proportional to 5,869 and 7,619

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Solution

The third proportional to 5,869 and 7,619 is: 9,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 7,619 = 7,619 : x
  2. Step 2: Convert to fraction form
    5,869/7,619 = 7,619/x
  3. Step 3: Cross multiply
    5,869x = 7,619 × 7,619
  4. Step 4: Simplify right side
    5,869x = 58,049,161
  5. Step 5: Solve for x
    x = 58,049,161/5,869
  6. Step 6: Final answer
    x = 9,890.81

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.