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Finding the Third Proportional to 3,185 and 6,569

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Solution

The third proportional to 3,185 and 6,569 is: 13,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185 : 6,569 = 6,569 : x
  2. Step 2: Convert to fraction form
    3,185/6,569 = 6,569/x
  3. Step 3: Cross multiply
    3,185x = 6,569 × 6,569
  4. Step 4: Simplify right side
    3,185x = 43,151,761
  5. Step 5: Solve for x
    x = 43,151,761/3,185
  6. Step 6: Final answer
    x = 13,548.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.