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Finding the Third Proportional to 4,071 and 5,951

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Solution

The third proportional to 4,071 and 5,951 is: 8,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071 : 5,951 = 5,951 : x
  2. Step 2: Convert to fraction form
    4,071/5,951 = 5,951/x
  3. Step 3: Cross multiply
    4,071x = 5,951 × 5,951
  4. Step 4: Simplify right side
    4,071x = 35,414,401
  5. Step 5: Solve for x
    x = 35,414,401/4,071
  6. Step 6: Final answer
    x = 8,699.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.