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Finding the Third Proportional to 6,806 and 14,338

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Solution

The third proportional to 6,806 and 14,338 is: 30,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 14,338 = 14,338 : x
  2. Step 2: Convert to fraction form
    6,806/14,338 = 14,338/x
  3. Step 3: Cross multiply
    6,806x = 14,338 × 14,338
  4. Step 4: Simplify right side
    6,806x = 205,578,244
  5. Step 5: Solve for x
    x = 205,578,244/6,806
  6. Step 6: Final answer
    x = 30,205.44

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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.