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Finding the Third Proportional to 11,443.78 and 18,361.69

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Solution

The third proportional to 11,443.78 and 18,361.69 is: 29,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.78 : 18,361.69 = 18,361.69 : x
  2. Step 2: Convert to fraction form
    11,443.78/18,361.69 = 18,361.69/x
  3. Step 3: Cross multiply
    11,443.78x = 18,361.69 × 18,361.69
  4. Step 4: Simplify right side
    11,443.78x = 337,151,567.85
  5. Step 5: Solve for x
    x = 337,151,567.85/11,443.78
  6. Step 6: Final answer
    x = 29,461.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.