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Finding the Third Proportional to 561.30 and 1,183.52

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Solution

The third proportional to 561.30 and 1,183.52 is: 2,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 1,183.52 = 1,183.52 : x
  2. Step 2: Convert to fraction form
    561.30/1,183.52 = 1,183.52/x
  3. Step 3: Cross multiply
    561.30x = 1,183.52 × 1,183.52
  4. Step 4: Simplify right side
    561.30x = 1,400,713.86
  5. Step 5: Solve for x
    x = 1,400,713.86/561.30
  6. Step 6: Final answer
    x = 2,495.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.