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Finding the Third Proportional to 33,674 and 49,858

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Solution

The third proportional to 33,674 and 49,858 is: 73,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,674 : 49,858 = 49,858 : x
  2. Step 2: Convert to fraction form
    33,674/49,858 = 49,858/x
  3. Step 3: Cross multiply
    33,674x = 49,858 × 49,858
  4. Step 4: Simplify right side
    33,674x = 2,485,820,164
  5. Step 5: Solve for x
    x = 2,485,820,164/33,674
  6. Step 6: Final answer
    x = 73,820.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.