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Finding the Third Proportional to 7,806 and 12,266

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Solution

The third proportional to 7,806 and 12,266 is: 19,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 12,266 = 12,266 : x
  2. Step 2: Convert to fraction form
    7,806/12,266 = 12,266/x
  3. Step 3: Cross multiply
    7,806x = 12,266 × 12,266
  4. Step 4: Simplify right side
    7,806x = 150,454,756
  5. Step 5: Solve for x
    x = 150,454,756/7,806
  6. Step 6: Final answer
    x = 19,274.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.