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Finding the Third Proportional to 3,698 and 5,951

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Solution

The third proportional to 3,698 and 5,951 is: 9,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,951 = 5,951 : x
  2. Step 2: Convert to fraction form
    3,698/5,951 = 5,951/x
  3. Step 3: Cross multiply
    3,698x = 5,951 × 5,951
  4. Step 4: Simplify right side
    3,698x = 35,414,401
  5. Step 5: Solve for x
    x = 35,414,401/3,698
  6. Step 6: Final answer
    x = 9,576.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.