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Finding the Third Proportional to 3,610.83 and 5,729.48

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Solution

The third proportional to 3,610.83 and 5,729.48 is: 9,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.83 : 5,729.48 = 5,729.48 : x
  2. Step 2: Convert to fraction form
    3,610.83/5,729.48 = 5,729.48/x
  3. Step 3: Cross multiply
    3,610.83x = 5,729.48 × 5,729.48
  4. Step 4: Simplify right side
    3,610.83x = 32,826,991.20
  5. Step 5: Solve for x
    x = 32,826,991.20/3,610.83
  6. Step 6: Final answer
    x = 9,091.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.