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Finding the Third Proportional to 11,962.25 and 18,361.88

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Solution

The third proportional to 11,962.25 and 18,361.88 is: 28,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.25 : 18,361.88 = 18,361.88 : x
  2. Step 2: Convert to fraction form
    11,962.25/18,361.88 = 18,361.88/x
  3. Step 3: Cross multiply
    11,962.25x = 18,361.88 × 18,361.88
  4. Step 4: Simplify right side
    11,962.25x = 337,158,453.52
  5. Step 5: Solve for x
    x = 337,158,453.52/11,962.25
  6. Step 6: Final answer
    x = 28,185.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.