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Finding the Third Proportional to 3,209 and 6,914

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Solution

The third proportional to 3,209 and 6,914 is: 14,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 6,914 = 6,914 : x
  2. Step 2: Convert to fraction form
    3,209/6,914 = 6,914/x
  3. Step 3: Cross multiply
    3,209x = 6,914 × 6,914
  4. Step 4: Simplify right side
    3,209x = 47,803,396
  5. Step 5: Solve for x
    x = 47,803,396/3,209
  6. Step 6: Final answer
    x = 14,896.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.