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Finding the Third Proportional to 13,169.25 and 17,741.25

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Solution

The third proportional to 13,169.25 and 17,741.25 is: 23,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.25 : 17,741.25 = 17,741.25 : x
  2. Step 2: Convert to fraction form
    13,169.25/17,741.25 = 17,741.25/x
  3. Step 3: Cross multiply
    13,169.25x = 17,741.25 × 17,741.25
  4. Step 4: Simplify right side
    13,169.25x = 314,751,951.56
  5. Step 5: Solve for x
    x = 314,751,951.56/13,169.25
  6. Step 6: Final answer
    x = 23,900.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.