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Finding the Third Proportional to 1,183.36 and 1,751.94

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Solution

The third proportional to 1,183.36 and 1,751.94 is: 2,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.36 : 1,751.94 = 1,751.94 : x
  2. Step 2: Convert to fraction form
    1,183.36/1,751.94 = 1,751.94/x
  3. Step 3: Cross multiply
    1,183.36x = 1,751.94 × 1,751.94
  4. Step 4: Simplify right side
    1,183.36x = 3,069,298.69
  5. Step 5: Solve for x
    x = 3,069,298.69/1,183.36
  6. Step 6: Final answer
    x = 2,593.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.