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Finding the Third Proportional to 3,477 and 7,116

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Solution

The third proportional to 3,477 and 7,116 is: 14,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 7,116 = 7,116 : x
  2. Step 2: Convert to fraction form
    3,477/7,116 = 7,116/x
  3. Step 3: Cross multiply
    3,477x = 7,116 × 7,116
  4. Step 4: Simplify right side
    3,477x = 50,637,456
  5. Step 5: Solve for x
    x = 50,637,456/3,477
  6. Step 6: Final answer
    x = 14,563.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.