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Finding the Third Proportional to 19,050.75 and 41,791.50

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Solution

The third proportional to 19,050.75 and 41,791.50 is: 91,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,050.75 : 41,791.50 = 41,791.50 : x
  2. Step 2: Convert to fraction form
    19,050.75/41,791.50 = 41,791.50/x
  3. Step 3: Cross multiply
    19,050.75x = 41,791.50 × 41,791.50
  4. Step 4: Simplify right side
    19,050.75x = 1,746,529,472.25
  5. Step 5: Solve for x
    x = 1,746,529,472.25/19,050.75
  6. Step 6: Final answer
    x = 91,677.73

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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.