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Finding the Third Proportional to 19,039 and 43,879

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Solution

The third proportional to 19,039 and 43,879 is: 101,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039 : 43,879 = 43,879 : x
  2. Step 2: Convert to fraction form
    19,039/43,879 = 43,879/x
  3. Step 3: Cross multiply
    19,039x = 43,879 × 43,879
  4. Step 4: Simplify right side
    19,039x = 1,925,366,641
  5. Step 5: Solve for x
    x = 1,925,366,641/19,039
  6. Step 6: Final answer
    x = 101,127.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.