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Finding the Third Proportional to 21,879 and 48,012.75

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Solution

The third proportional to 21,879 and 48,012.75 is: 105,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879 : 48,012.75 = 48,012.75 : x
  2. Step 2: Convert to fraction form
    21,879/48,012.75 = 48,012.75/x
  3. Step 3: Cross multiply
    21,879x = 48,012.75 × 48,012.75
  4. Step 4: Simplify right side
    21,879x = 2,305,224,162.56
  5. Step 5: Solve for x
    x = 2,305,224,162.56/21,879
  6. Step 6: Final answer
    x = 105,362.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.