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Finding the Third Proportional to 1,648 and 3,116

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Solution

The third proportional to 1,648 and 3,116 is: 5,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,116 = 3,116 : x
  2. Step 2: Convert to fraction form
    1,648/3,116 = 3,116/x
  3. Step 3: Cross multiply
    1,648x = 3,116 × 3,116
  4. Step 4: Simplify right side
    1,648x = 9,709,456
  5. Step 5: Solve for x
    x = 9,709,456/1,648
  6. Step 6: Final answer
    x = 5,891.66

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.