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Finding the Third Proportional to 3,086 and 3,470

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Solution

The third proportional to 3,086 and 3,470 is: 3,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086 : 3,470 = 3,470 : x
  2. Step 2: Convert to fraction form
    3,086/3,470 = 3,470/x
  3. Step 3: Cross multiply
    3,086x = 3,470 × 3,470
  4. Step 4: Simplify right side
    3,086x = 12,040,900
  5. Step 5: Solve for x
    x = 12,040,900/3,086
  6. Step 6: Final answer
    x = 3,901.78

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.