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Finding the Third Proportional to 11,544.40 and 18,355.99

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Solution

The third proportional to 11,544.40 and 18,355.99 is: 29,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.40 : 18,355.99 = 18,355.99 : x
  2. Step 2: Convert to fraction form
    11,544.40/18,355.99 = 18,355.99/x
  3. Step 3: Cross multiply
    11,544.40x = 18,355.99 × 18,355.99
  4. Step 4: Simplify right side
    11,544.40x = 336,942,449.19
  5. Step 5: Solve for x
    x = 336,942,449.19/11,544.40
  6. Step 6: Final answer
    x = 29,186.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.