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Finding the Third Proportional to 2,116 and 3,379

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Solution

The third proportional to 2,116 and 3,379 is: 5,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,379 = 3,379 : x
  2. Step 2: Convert to fraction form
    2,116/3,379 = 3,379/x
  3. Step 3: Cross multiply
    2,116x = 3,379 × 3,379
  4. Step 4: Simplify right side
    2,116x = 11,417,641
  5. Step 5: Solve for x
    x = 11,417,641/2,116
  6. Step 6: Final answer
    x = 5,395.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.