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Finding the Third Proportional to 5,201.72 and 7,619.48

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Solution

The third proportional to 5,201.72 and 7,619.48 is: 11,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 7,619.48 = 7,619.48 : x
  2. Step 2: Convert to fraction form
    5,201.72/7,619.48 = 7,619.48/x
  3. Step 3: Cross multiply
    5,201.72x = 7,619.48 × 7,619.48
  4. Step 4: Simplify right side
    5,201.72x = 58,056,542.14
  5. Step 5: Solve for x
    x = 58,056,542.14/5,201.72
  6. Step 6: Final answer
    x = 11,161.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.