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Finding the Third Proportional to 6,869 and 18,622

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Solution

The third proportional to 6,869 and 18,622 is: 50,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869 : 18,622 = 18,622 : x
  2. Step 2: Convert to fraction form
    6,869/18,622 = 18,622/x
  3. Step 3: Cross multiply
    6,869x = 18,622 × 18,622
  4. Step 4: Simplify right side
    6,869x = 346,778,884
  5. Step 5: Solve for x
    x = 346,778,884/6,869
  6. Step 6: Final answer
    x = 50,484.62

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.