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Finding the Third Proportional to 2,116 and 3,366

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Solution

The third proportional to 2,116 and 3,366 is: 5,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,366 = 3,366 : x
  2. Step 2: Convert to fraction form
    2,116/3,366 = 3,366/x
  3. Step 3: Cross multiply
    2,116x = 3,366 × 3,366
  4. Step 4: Simplify right side
    2,116x = 11,329,956
  5. Step 5: Solve for x
    x = 11,329,956/2,116
  6. Step 6: Final answer
    x = 5,354.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.