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Finding the Third Proportional to 18,781.24 and 40,478.48

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Solution

The third proportional to 18,781.24 and 40,478.48 is: 87,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.24 : 40,478.48 = 40,478.48 : x
  2. Step 2: Convert to fraction form
    18,781.24/40,478.48 = 40,478.48/x
  3. Step 3: Cross multiply
    18,781.24x = 40,478.48 × 40,478.48
  4. Step 4: Simplify right side
    18,781.24x = 1,638,507,697.30
  5. Step 5: Solve for x
    x = 1,638,507,697.30/18,781.24
  6. Step 6: Final answer
    x = 87,241.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.