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Finding the Third Proportional to 13,869 and 23,019

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Solution

The third proportional to 13,869 and 23,019 is: 38,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 23,019 = 23,019 : x
  2. Step 2: Convert to fraction form
    13,869/23,019 = 23,019/x
  3. Step 3: Cross multiply
    13,869x = 23,019 × 23,019
  4. Step 4: Simplify right side
    13,869x = 529,874,361
  5. Step 5: Solve for x
    x = 529,874,361/13,869
  6. Step 6: Final answer
    x = 38,205.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.