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Finding the Third Proportional to 3,994 and 6,814

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Solution

The third proportional to 3,994 and 6,814 is: 11,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994 : 6,814 = 6,814 : x
  2. Step 2: Convert to fraction form
    3,994/6,814 = 6,814/x
  3. Step 3: Cross multiply
    3,994x = 6,814 × 6,814
  4. Step 4: Simplify right side
    3,994x = 46,430,596
  5. Step 5: Solve for x
    x = 46,430,596/3,994
  6. Step 6: Final answer
    x = 11,625.09

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.