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Finding the Third Proportional to 6,876 and 15,072.75

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Solution

The third proportional to 6,876 and 15,072.75 is: 33,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 15,072.75 = 15,072.75 : x
  2. Step 2: Convert to fraction form
    6,876/15,072.75 = 15,072.75/x
  3. Step 3: Cross multiply
    6,876x = 15,072.75 × 15,072.75
  4. Step 4: Simplify right side
    6,876x = 227,187,792.56
  5. Step 5: Solve for x
    x = 227,187,792.56/6,876
  6. Step 6: Final answer
    x = 33,040.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.