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Finding the Third Proportional to 2,002.22 and 4,956.19

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Solution

The third proportional to 2,002.22 and 4,956.19 is: 12,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.22 : 4,956.19 = 4,956.19 : x
  2. Step 2: Convert to fraction form
    2,002.22/4,956.19 = 4,956.19/x
  3. Step 3: Cross multiply
    2,002.22x = 4,956.19 × 4,956.19
  4. Step 4: Simplify right side
    2,002.22x = 24,563,794.54
  5. Step 5: Solve for x
    x = 24,563,794.54/2,002.22
  6. Step 6: Final answer
    x = 12,268.29

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.