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Finding the Third Proportional to 33,844 and 49,785

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Solution

The third proportional to 33,844 and 49,785 is: 73,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844 : 49,785 = 49,785 : x
  2. Step 2: Convert to fraction form
    33,844/49,785 = 49,785/x
  3. Step 3: Cross multiply
    33,844x = 49,785 × 49,785
  4. Step 4: Simplify right side
    33,844x = 2,478,546,225
  5. Step 5: Solve for x
    x = 2,478,546,225/33,844
  6. Step 6: Final answer
    x = 73,234.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.