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Finding the Third Proportional to 12,111.75 and 18,704.25

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Solution

The third proportional to 12,111.75 and 18,704.25 is: 28,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.75 : 18,704.25 = 18,704.25 : x
  2. Step 2: Convert to fraction form
    12,111.75/18,704.25 = 18,704.25/x
  3. Step 3: Cross multiply
    12,111.75x = 18,704.25 × 18,704.25
  4. Step 4: Simplify right side
    12,111.75x = 349,848,968.06
  5. Step 5: Solve for x
    x = 349,848,968.06/12,111.75
  6. Step 6: Final answer
    x = 28,885.09

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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.