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Finding the Third Proportional to 3,477 and 4,013

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Solution

The third proportional to 3,477 and 4,013 is: 4,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 4,013 = 4,013 : x
  2. Step 2: Convert to fraction form
    3,477/4,013 = 4,013/x
  3. Step 3: Cross multiply
    3,477x = 4,013 × 4,013
  4. Step 4: Simplify right side
    3,477x = 16,104,169
  5. Step 5: Solve for x
    x = 16,104,169/3,477
  6. Step 6: Final answer
    x = 4,631.63

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.