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Finding the Third Proportional to 17,003.25 and 18,643.50

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Solution

The third proportional to 17,003.25 and 18,643.50 is: 20,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.25 : 18,643.50 = 18,643.50 : x
  2. Step 2: Convert to fraction form
    17,003.25/18,643.50 = 18,643.50/x
  3. Step 3: Cross multiply
    17,003.25x = 18,643.50 × 18,643.50
  4. Step 4: Simplify right side
    17,003.25x = 347,580,092.25
  5. Step 5: Solve for x
    x = 347,580,092.25/17,003.25
  6. Step 6: Final answer
    x = 20,441.98

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.