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Finding the Third Proportional to 3,206 and 7,619

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Solution

The third proportional to 3,206 and 7,619 is: 18,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 7,619 = 7,619 : x
  2. Step 2: Convert to fraction form
    3,206/7,619 = 7,619/x
  3. Step 3: Cross multiply
    3,206x = 7,619 × 7,619
  4. Step 4: Simplify right side
    3,206x = 58,049,161
  5. Step 5: Solve for x
    x = 58,049,161/3,206
  6. Step 6: Final answer
    x = 18,106.41

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.