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Finding the Third Proportional to 23,075 and 49,857

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Solution

The third proportional to 23,075 and 49,857 is: 107,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075 : 49,857 = 49,857 : x
  2. Step 2: Convert to fraction form
    23,075/49,857 = 49,857/x
  3. Step 3: Cross multiply
    23,075x = 49,857 × 49,857
  4. Step 4: Simplify right side
    23,075x = 2,485,720,449
  5. Step 5: Solve for x
    x = 2,485,720,449/23,075
  6. Step 6: Final answer
    x = 107,723.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.