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Finding the Third Proportional to 34,675 and 70,993

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Solution

The third proportional to 34,675 and 70,993 is: 145,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,675 : 70,993 = 70,993 : x
  2. Step 2: Convert to fraction form
    34,675/70,993 = 70,993/x
  3. Step 3: Cross multiply
    34,675x = 70,993 × 70,993
  4. Step 4: Simplify right side
    34,675x = 5,040,006,049
  5. Step 5: Solve for x
    x = 5,040,006,049/34,675
  6. Step 6: Final answer
    x = 145,349.85

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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.