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Finding the Third Proportional to 24,869 and 38,195

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Solution

The third proportional to 24,869 and 38,195 is: 58,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 38,195 = 38,195 : x
  2. Step 2: Convert to fraction form
    24,869/38,195 = 38,195/x
  3. Step 3: Cross multiply
    24,869x = 38,195 × 38,195
  4. Step 4: Simplify right side
    24,869x = 1,458,858,025
  5. Step 5: Solve for x
    x = 1,458,858,025/24,869
  6. Step 6: Final answer
    x = 58,661.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.