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Finding the Third Proportional to 34,757 and 82,031

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Solution

The third proportional to 34,757 and 82,031 is: 193,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757 : 82,031 = 82,031 : x
  2. Step 2: Convert to fraction form
    34,757/82,031 = 82,031/x
  3. Step 3: Cross multiply
    34,757x = 82,031 × 82,031
  4. Step 4: Simplify right side
    34,757x = 6,729,084,961
  5. Step 5: Solve for x
    x = 6,729,084,961/34,757
  6. Step 6: Final answer
    x = 193,603.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.