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Finding the Third Proportional to 33,809 and 48,968

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Solution

The third proportional to 33,809 and 48,968 is: 70,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809 : 48,968 = 48,968 : x
  2. Step 2: Convert to fraction form
    33,809/48,968 = 48,968/x
  3. Step 3: Cross multiply
    33,809x = 48,968 × 48,968
  4. Step 4: Simplify right side
    33,809x = 2,397,865,024
  5. Step 5: Solve for x
    x = 2,397,865,024/33,809
  6. Step 6: Final answer
    x = 70,923.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.