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Finding the Third Proportional to 23,168 and 50,710

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Solution

The third proportional to 23,168 and 50,710 is: 110,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168 : 50,710 = 50,710 : x
  2. Step 2: Convert to fraction form
    23,168/50,710 = 50,710/x
  3. Step 3: Cross multiply
    23,168x = 50,710 × 50,710
  4. Step 4: Simplify right side
    23,168x = 2,571,504,100
  5. Step 5: Solve for x
    x = 2,571,504,100/23,168
  6. Step 6: Final answer
    x = 110,993.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.