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Finding the Third Proportional to 3,915 and 9,072.75

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Solution

The third proportional to 3,915 and 9,072.75 is: 21,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 9,072.75 = 9,072.75 : x
  2. Step 2: Convert to fraction form
    3,915/9,072.75 = 9,072.75/x
  3. Step 3: Cross multiply
    3,915x = 9,072.75 × 9,072.75
  4. Step 4: Simplify right side
    3,915x = 82,314,792.56
  5. Step 5: Solve for x
    x = 82,314,792.56/3,915
  6. Step 6: Final answer
    x = 21,025.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.