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Finding the Third Proportional to 3,171 and 6,018

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Solution

The third proportional to 3,171 and 6,018 is: 11,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 6,018 = 6,018 : x
  2. Step 2: Convert to fraction form
    3,171/6,018 = 6,018/x
  3. Step 3: Cross multiply
    3,171x = 6,018 × 6,018
  4. Step 4: Simplify right side
    3,171x = 36,216,324
  5. Step 5: Solve for x
    x = 36,216,324/3,171
  6. Step 6: Final answer
    x = 11,421.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.