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Finding the Third Proportional to 7,362.56 and 16,183.69

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Solution

The third proportional to 7,362.56 and 16,183.69 is: 35,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.56 : 16,183.69 = 16,183.69 : x
  2. Step 2: Convert to fraction form
    7,362.56/16,183.69 = 16,183.69/x
  3. Step 3: Cross multiply
    7,362.56x = 16,183.69 × 16,183.69
  4. Step 4: Simplify right side
    7,362.56x = 261,911,741.10
  5. Step 5: Solve for x
    x = 261,911,741.10/7,362.56
  6. Step 6: Final answer
    x = 35,573.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.