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Finding the Third Proportional to 19,194 and 41,303.25

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Solution

The third proportional to 19,194 and 41,303.25 is: 88,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194 : 41,303.25 = 41,303.25 : x
  2. Step 2: Convert to fraction form
    19,194/41,303.25 = 41,303.25/x
  3. Step 3: Cross multiply
    19,194x = 41,303.25 × 41,303.25
  4. Step 4: Simplify right side
    19,194x = 1,705,958,460.56
  5. Step 5: Solve for x
    x = 1,705,958,460.56/19,194
  6. Step 6: Final answer
    x = 88,879.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.