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Finding the Third Proportional to 19,119.75 and 41,933.25

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Solution

The third proportional to 19,119.75 and 41,933.25 is: 91,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119.75 : 41,933.25 = 41,933.25 : x
  2. Step 2: Convert to fraction form
    19,119.75/41,933.25 = 41,933.25/x
  3. Step 3: Cross multiply
    19,119.75x = 41,933.25 × 41,933.25
  4. Step 4: Simplify right side
    19,119.75x = 1,758,397,455.56
  5. Step 5: Solve for x
    x = 1,758,397,455.56/19,119.75
  6. Step 6: Final answer
    x = 91,967.60

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