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Finding the Third Proportional to 2,758 and 5,379

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Solution

The third proportional to 2,758 and 5,379 is: 10,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 5,379 = 5,379 : x
  2. Step 2: Convert to fraction form
    2,758/5,379 = 5,379/x
  3. Step 3: Cross multiply
    2,758x = 5,379 × 5,379
  4. Step 4: Simplify right side
    2,758x = 28,933,641
  5. Step 5: Solve for x
    x = 28,933,641/2,758
  6. Step 6: Final answer
    x = 10,490.81

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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.