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Finding the Third Proportional to 15,971 and 34,734

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Solution

The third proportional to 15,971 and 34,734 is: 75,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971 : 34,734 = 34,734 : x
  2. Step 2: Convert to fraction form
    15,971/34,734 = 34,734/x
  3. Step 3: Cross multiply
    15,971x = 34,734 × 34,734
  4. Step 4: Simplify right side
    15,971x = 1,206,450,756
  5. Step 5: Solve for x
    x = 1,206,450,756/15,971
  6. Step 6: Final answer
    x = 75,540.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.