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Finding the Third Proportional to 7,977 and 11,984.25

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Solution

The third proportional to 7,977 and 11,984.25 is: 18,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,984.25 = 11,984.25 : x
  2. Step 2: Convert to fraction form
    7,977/11,984.25 = 11,984.25/x
  3. Step 3: Cross multiply
    7,977x = 11,984.25 × 11,984.25
  4. Step 4: Simplify right side
    7,977x = 143,622,248.06
  5. Step 5: Solve for x
    x = 143,622,248.06/7,977
  6. Step 6: Final answer
    x = 18,004.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.