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Finding the Third Proportional to 3,005 and 4,116

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Solution

The third proportional to 3,005 and 4,116 is: 5,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005 : 4,116 = 4,116 : x
  2. Step 2: Convert to fraction form
    3,005/4,116 = 4,116/x
  3. Step 3: Cross multiply
    3,005x = 4,116 × 4,116
  4. Step 4: Simplify right side
    3,005x = 16,941,456
  5. Step 5: Solve for x
    x = 16,941,456/3,005
  6. Step 6: Final answer
    x = 5,637.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.