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Finding the Third Proportional to 5,201.72 and 7,791.19

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Solution

The third proportional to 5,201.72 and 7,791.19 is: 11,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 7,791.19 = 7,791.19 : x
  2. Step 2: Convert to fraction form
    5,201.72/7,791.19 = 7,791.19/x
  3. Step 3: Cross multiply
    5,201.72x = 7,791.19 × 7,791.19
  4. Step 4: Simplify right side
    5,201.72x = 60,702,602.66
  5. Step 5: Solve for x
    x = 60,702,602.66/5,201.72
  6. Step 6: Final answer
    x = 11,669.72

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Why These Related Problems?

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