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Finding the Third Proportional to 33,874 and 45,251

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Solution

The third proportional to 33,874 and 45,251 is: 60,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874 : 45,251 = 45,251 : x
  2. Step 2: Convert to fraction form
    33,874/45,251 = 45,251/x
  3. Step 3: Cross multiply
    33,874x = 45,251 × 45,251
  4. Step 4: Simplify right side
    33,874x = 2,047,653,001
  5. Step 5: Solve for x
    x = 2,047,653,001/33,874
  6. Step 6: Final answer
    x = 60,449.11

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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.