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Finding the Third Proportional to 11,817.28 and 18,295.73

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Solution

The third proportional to 11,817.28 and 18,295.73 is: 28,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.28 : 18,295.73 = 18,295.73 : x
  2. Step 2: Convert to fraction form
    11,817.28/18,295.73 = 18,295.73/x
  3. Step 3: Cross multiply
    11,817.28x = 18,295.73 × 18,295.73
  4. Step 4: Simplify right side
    11,817.28x = 334,733,896.32
  5. Step 5: Solve for x
    x = 334,733,896.32/11,817.28
  6. Step 6: Final answer
    x = 28,325.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.