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Finding the Third Proportional to 24,869 and 33,351

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Solution

The third proportional to 24,869 and 33,351 is: 44,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 33,351 = 33,351 : x
  2. Step 2: Convert to fraction form
    24,869/33,351 = 33,351/x
  3. Step 3: Cross multiply
    24,869x = 33,351 × 33,351
  4. Step 4: Simplify right side
    24,869x = 1,112,289,201
  5. Step 5: Solve for x
    x = 1,112,289,201/24,869
  6. Step 6: Final answer
    x = 44,725.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.