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Finding the Third Proportional to 11,983.31 and 18,142.13

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Solution

The third proportional to 11,983.31 and 18,142.13 is: 27,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.31 : 18,142.13 = 18,142.13 : x
  2. Step 2: Convert to fraction form
    11,983.31/18,142.13 = 18,142.13/x
  3. Step 3: Cross multiply
    11,983.31x = 18,142.13 × 18,142.13
  4. Step 4: Simplify right side
    11,983.31x = 329,136,699.52
  5. Step 5: Solve for x
    x = 329,136,699.52/11,983.31
  6. Step 6: Final answer
    x = 27,466.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.