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Finding the Third Proportional to 11,772.21 and 18,145.27

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Solution

The third proportional to 11,772.21 and 18,145.27 is: 27,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.21 : 18,145.27 = 18,145.27 : x
  2. Step 2: Convert to fraction form
    11,772.21/18,145.27 = 18,145.27/x
  3. Step 3: Cross multiply
    11,772.21x = 18,145.27 × 18,145.27
  4. Step 4: Simplify right side
    11,772.21x = 329,250,664.60
  5. Step 5: Solve for x
    x = 329,250,664.60/11,772.21
  6. Step 6: Final answer
    x = 27,968.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.