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Finding the Third Proportional to 3,226 and 6,785

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Solution

The third proportional to 3,226 and 6,785 is: 14,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 6,785 = 6,785 : x
  2. Step 2: Convert to fraction form
    3,226/6,785 = 6,785/x
  3. Step 3: Cross multiply
    3,226x = 6,785 × 6,785
  4. Step 4: Simplify right side
    3,226x = 46,036,225
  5. Step 5: Solve for x
    x = 46,036,225/3,226
  6. Step 6: Final answer
    x = 14,270.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.