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Finding the Third Proportional to 3,106 and 3,951

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Solution

The third proportional to 3,106 and 3,951 is: 5,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 3,951 = 3,951 : x
  2. Step 2: Convert to fraction form
    3,106/3,951 = 3,951/x
  3. Step 3: Cross multiply
    3,106x = 3,951 × 3,951
  4. Step 4: Simplify right side
    3,106x = 15,610,401
  5. Step 5: Solve for x
    x = 15,610,401/3,106
  6. Step 6: Final answer
    x = 5,025.89

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.