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Finding the Third Proportional to 17,075 and 34,993

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Solution

The third proportional to 17,075 and 34,993 is: 71,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075 : 34,993 = 34,993 : x
  2. Step 2: Convert to fraction form
    17,075/34,993 = 34,993/x
  3. Step 3: Cross multiply
    17,075x = 34,993 × 34,993
  4. Step 4: Simplify right side
    17,075x = 1,224,510,049
  5. Step 5: Solve for x
    x = 1,224,510,049/17,075
  6. Step 6: Final answer
    x = 71,713.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.