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Finding the Third Proportional to 2,180.67 and 3,362.13

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Solution

The third proportional to 2,180.67 and 3,362.13 is: 5,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.67 : 3,362.13 = 3,362.13 : x
  2. Step 2: Convert to fraction form
    2,180.67/3,362.13 = 3,362.13/x
  3. Step 3: Cross multiply
    2,180.67x = 3,362.13 × 3,362.13
  4. Step 4: Simplify right side
    2,180.67x = 11,303,937.05
  5. Step 5: Solve for x
    x = 11,303,937.05/2,180.67
  6. Step 6: Final answer
    x = 5,183.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.