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Finding the Third Proportional to 3,108 and 6,806.63

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Solution

The third proportional to 3,108 and 6,806.63 is: 14,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108 : 6,806.63 = 6,806.63 : x
  2. Step 2: Convert to fraction form
    3,108/6,806.63 = 6,806.63/x
  3. Step 3: Cross multiply
    3,108x = 6,806.63 × 6,806.63
  4. Step 4: Simplify right side
    3,108x = 46,330,143.89
  5. Step 5: Solve for x
    x = 46,330,143.89/3,108
  6. Step 6: Final answer
    x = 14,906.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.