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Finding the Third Proportional to 18,431.44 and 39,983.63

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Solution

The third proportional to 18,431.44 and 39,983.63 is: 86,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.44 : 39,983.63 = 39,983.63 : x
  2. Step 2: Convert to fraction form
    18,431.44/39,983.63 = 39,983.63/x
  3. Step 3: Cross multiply
    18,431.44x = 39,983.63 × 39,983.63
  4. Step 4: Simplify right side
    18,431.44x = 1,598,690,268.14
  5. Step 5: Solve for x
    x = 1,598,690,268.14/18,431.44
  6. Step 6: Final answer
    x = 86,737.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.