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Finding the Third Proportional to 17,975.25 and 27,214.31

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Solution

The third proportional to 17,975.25 and 27,214.31 is: 41,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.25 : 27,214.31 = 27,214.31 : x
  2. Step 2: Convert to fraction form
    17,975.25/27,214.31 = 27,214.31/x
  3. Step 3: Cross multiply
    17,975.25x = 27,214.31 × 27,214.31
  4. Step 4: Simplify right side
    17,975.25x = 740,618,804.85
  5. Step 5: Solve for x
    x = 740,618,804.85/17,975.25
  6. Step 6: Final answer
    x = 41,202.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.