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Finding the Third Proportional to 19,949.25 and 30,338.25

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Solution

The third proportional to 19,949.25 and 30,338.25 is: 46,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.25 : 30,338.25 = 30,338.25 : x
  2. Step 2: Convert to fraction form
    19,949.25/30,338.25 = 30,338.25/x
  3. Step 3: Cross multiply
    19,949.25x = 30,338.25 × 30,338.25
  4. Step 4: Simplify right side
    19,949.25x = 920,409,413.06
  5. Step 5: Solve for x
    x = 920,409,413.06/19,949.25
  6. Step 6: Final answer
    x = 46,137.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.