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Finding the Third Proportional to 17,019.75 and 23,805.75

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Solution

The third proportional to 17,019.75 and 23,805.75 is: 33,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.75 : 23,805.75 = 23,805.75 : x
  2. Step 2: Convert to fraction form
    17,019.75/23,805.75 = 23,805.75/x
  3. Step 3: Cross multiply
    17,019.75x = 23,805.75 × 23,805.75
  4. Step 4: Simplify right side
    17,019.75x = 566,713,733.06
  5. Step 5: Solve for x
    x = 566,713,733.06/17,019.75
  6. Step 6: Final answer
    x = 33,297.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.