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Finding the Third Proportional to 19,817.16 and 41,272.03

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Solution

The third proportional to 19,817.16 and 41,272.03 is: 85,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.16 : 41,272.03 = 41,272.03 : x
  2. Step 2: Convert to fraction form
    19,817.16/41,272.03 = 41,272.03/x
  3. Step 3: Cross multiply
    19,817.16x = 41,272.03 × 41,272.03
  4. Step 4: Simplify right side
    19,817.16x = 1,703,380,563.50
  5. Step 5: Solve for x
    x = 1,703,380,563.50/19,817.16
  6. Step 6: Final answer
    x = 85,954.84

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.