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Finding the Third Proportional to 49,738 and 74,444

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Solution

The third proportional to 49,738 and 74,444 is: 111,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,738 : 74,444 = 74,444 : x
  2. Step 2: Convert to fraction form
    49,738/74,444 = 74,444/x
  3. Step 3: Cross multiply
    49,738x = 74,444 × 74,444
  4. Step 4: Simplify right side
    49,738x = 5,541,909,136
  5. Step 5: Solve for x
    x = 5,541,909,136/49,738
  6. Step 6: Final answer
    x = 111,422.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.