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Finding the Third Proportional to 12,072.38 and 16,110.56

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Solution

The third proportional to 12,072.38 and 16,110.56 is: 21,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.38 : 16,110.56 = 16,110.56 : x
  2. Step 2: Convert to fraction form
    12,072.38/16,110.56 = 16,110.56/x
  3. Step 3: Cross multiply
    12,072.38x = 16,110.56 × 16,110.56
  4. Step 4: Simplify right side
    12,072.38x = 259,550,224.07
  5. Step 5: Solve for x
    x = 259,550,224.07/12,072.38
  6. Step 6: Final answer
    x = 21,499.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.