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Finding the Third Proportional to 3,686 and 6,009

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Solution

The third proportional to 3,686 and 6,009 is: 9,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686 : 6,009 = 6,009 : x
  2. Step 2: Convert to fraction form
    3,686/6,009 = 6,009/x
  3. Step 3: Cross multiply
    3,686x = 6,009 × 6,009
  4. Step 4: Simplify right side
    3,686x = 36,108,081
  5. Step 5: Solve for x
    x = 36,108,081/3,686
  6. Step 6: Final answer
    x = 9,796.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.