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Finding the Third Proportional to 2,686 and 6,688

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Solution

The third proportional to 2,686 and 6,688 is: 16,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 6,688 = 6,688 : x
  2. Step 2: Convert to fraction form
    2,686/6,688 = 6,688/x
  3. Step 3: Cross multiply
    2,686x = 6,688 × 6,688
  4. Step 4: Simplify right side
    2,686x = 44,729,344
  5. Step 5: Solve for x
    x = 44,729,344/2,686
  6. Step 6: Final answer
    x = 16,652.77

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.