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Finding the Third Proportional to 18,165.75 and 40,003.50

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Solution

The third proportional to 18,165.75 and 40,003.50 is: 88,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165.75 : 40,003.50 = 40,003.50 : x
  2. Step 2: Convert to fraction form
    18,165.75/40,003.50 = 40,003.50/x
  3. Step 3: Cross multiply
    18,165.75x = 40,003.50 × 40,003.50
  4. Step 4: Simplify right side
    18,165.75x = 1,600,280,012.25
  5. Step 5: Solve for x
    x = 1,600,280,012.25/18,165.75
  6. Step 6: Final answer
    x = 88,093.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.