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Finding the Third Proportional to 11,983.50 and 18,142.88

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Solution

The third proportional to 11,983.50 and 18,142.88 is: 27,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.50 : 18,142.88 = 18,142.88 : x
  2. Step 2: Convert to fraction form
    11,983.50/18,142.88 = 18,142.88/x
  3. Step 3: Cross multiply
    11,983.50x = 18,142.88 × 18,142.88
  4. Step 4: Simplify right side
    11,983.50x = 329,163,913.27
  5. Step 5: Solve for x
    x = 329,163,913.27/11,983.50
  6. Step 6: Final answer
    x = 27,468.09

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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.