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Finding the Third Proportional to 18,944.25 and 28,416.75

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Solution

The third proportional to 18,944.25 and 28,416.75 is: 42,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944.25 : 28,416.75 = 28,416.75 : x
  2. Step 2: Convert to fraction form
    18,944.25/28,416.75 = 28,416.75/x
  3. Step 3: Cross multiply
    18,944.25x = 28,416.75 × 28,416.75
  4. Step 4: Simplify right side
    18,944.25x = 807,511,680.56
  5. Step 5: Solve for x
    x = 807,511,680.56/18,944.25
  6. Step 6: Final answer
    x = 42,625.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.