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Finding the Third Proportional to 2,183.06 and 3,173.06

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Solution

The third proportional to 2,183.06 and 3,173.06 is: 4,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.06 : 3,173.06 = 3,173.06 : x
  2. Step 2: Convert to fraction form
    2,183.06/3,173.06 = 3,173.06/x
  3. Step 3: Cross multiply
    2,183.06x = 3,173.06 × 3,173.06
  4. Step 4: Simplify right side
    2,183.06x = 10,068,325.63
  5. Step 5: Solve for x
    x = 10,068,325.63/2,183.06
  6. Step 6: Final answer
    x = 4,612.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.