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Finding the Third Proportional to 4,544.06 and 9,804.19

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Solution

The third proportional to 4,544.06 and 9,804.19 is: 21,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.06 : 9,804.19 = 9,804.19 : x
  2. Step 2: Convert to fraction form
    4,544.06/9,804.19 = 9,804.19/x
  3. Step 3: Cross multiply
    4,544.06x = 9,804.19 × 9,804.19
  4. Step 4: Simplify right side
    4,544.06x = 96,122,092.54
  5. Step 5: Solve for x
    x = 96,122,092.54/4,544.06
  6. Step 6: Final answer
    x = 21,153.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.