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Finding the Third Proportional to 17,021.25 and 23,829.75

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Solution

The third proportional to 17,021.25 and 23,829.75 is: 33,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,021.25 : 23,829.75 = 23,829.75 : x
  2. Step 2: Convert to fraction form
    17,021.25/23,829.75 = 23,829.75/x
  3. Step 3: Cross multiply
    17,021.25x = 23,829.75 × 23,829.75
  4. Step 4: Simplify right side
    17,021.25x = 567,856,985.06
  5. Step 5: Solve for x
    x = 567,856,985.06/17,021.25
  6. Step 6: Final answer
    x = 33,361.65

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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.