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Finding the Third Proportional to 3,172 and 6,704

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Solution

The third proportional to 3,172 and 6,704 is: 14,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172 : 6,704 = 6,704 : x
  2. Step 2: Convert to fraction form
    3,172/6,704 = 6,704/x
  3. Step 3: Cross multiply
    3,172x = 6,704 × 6,704
  4. Step 4: Simplify right side
    3,172x = 44,943,616
  5. Step 5: Solve for x
    x = 44,943,616/3,172
  6. Step 6: Final answer
    x = 14,168.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.