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Finding the Third Proportional to 3,027 and 6,207

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Solution

The third proportional to 3,027 and 6,207 is: 12,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027 : 6,207 = 6,207 : x
  2. Step 2: Convert to fraction form
    3,027/6,207 = 6,207/x
  3. Step 3: Cross multiply
    3,027x = 6,207 × 6,207
  4. Step 4: Simplify right side
    3,027x = 38,526,849
  5. Step 5: Solve for x
    x = 38,526,849/3,027
  6. Step 6: Final answer
    x = 12,727.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.