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Finding the Third Proportional to 33,848 and 74,444

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Solution

The third proportional to 33,848 and 74,444 is: 163,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848 : 74,444 = 74,444 : x
  2. Step 2: Convert to fraction form
    33,848/74,444 = 74,444/x
  3. Step 3: Cross multiply
    33,848x = 74,444 × 74,444
  4. Step 4: Simplify right side
    33,848x = 5,541,909,136
  5. Step 5: Solve for x
    x = 5,541,909,136/33,848
  6. Step 6: Final answer
    x = 163,729.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.