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Finding the Third Proportional to 27,183.09 and 38,280.09

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Solution

The third proportional to 27,183.09 and 38,280.09 is: 53,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.09 : 38,280.09 = 38,280.09 : x
  2. Step 2: Convert to fraction form
    27,183.09/38,280.09 = 38,280.09/x
  3. Step 3: Cross multiply
    27,183.09x = 38,280.09 × 38,280.09
  4. Step 4: Simplify right side
    27,183.09x = 1,465,365,577.51
  5. Step 5: Solve for x
    x = 1,465,365,577.51/27,183.09
  6. Step 6: Final answer
    x = 53,907.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.