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Finding the Third Proportional to 23,398 and 33,867

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Solution

The third proportional to 23,398 and 33,867 is: 49,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398 : 33,867 = 33,867 : x
  2. Step 2: Convert to fraction form
    23,398/33,867 = 33,867/x
  3. Step 3: Cross multiply
    23,398x = 33,867 × 33,867
  4. Step 4: Simplify right side
    23,398x = 1,146,973,689
  5. Step 5: Solve for x
    x = 1,146,973,689/23,398
  6. Step 6: Final answer
    x = 49,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.