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Finding the Third Proportional to 3,086.44 and 6,017.63

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Solution

The third proportional to 3,086.44 and 6,017.63 is: 11,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.44 : 6,017.63 = 6,017.63 : x
  2. Step 2: Convert to fraction form
    3,086.44/6,017.63 = 6,017.63/x
  3. Step 3: Cross multiply
    3,086.44x = 6,017.63 × 6,017.63
  4. Step 4: Simplify right side
    3,086.44x = 36,211,810.64
  5. Step 5: Solve for x
    x = 36,211,810.64/3,086.44
  6. Step 6: Final answer
    x = 11,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.