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Finding the Third Proportional to 12,016.13 and 18,016.88

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Solution

The third proportional to 12,016.13 and 18,016.88 is: 27,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.13 : 18,016.88 = 18,016.88 : x
  2. Step 2: Convert to fraction form
    12,016.13/18,016.88 = 18,016.88/x
  3. Step 3: Cross multiply
    12,016.13x = 18,016.88 × 18,016.88
  4. Step 4: Simplify right side
    12,016.13x = 324,607,784.77
  5. Step 5: Solve for x
    x = 324,607,784.77/12,016.13
  6. Step 6: Final answer
    x = 27,014.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.