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Finding the Third Proportional to 2,222.44 and 2,627.44

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Solution

The third proportional to 2,222.44 and 2,627.44 is: 3,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.44 : 2,627.44 = 2,627.44 : x
  2. Step 2: Convert to fraction form
    2,222.44/2,627.44 = 2,627.44/x
  3. Step 3: Cross multiply
    2,222.44x = 2,627.44 × 2,627.44
  4. Step 4: Simplify right side
    2,222.44x = 6,903,427.82
  5. Step 5: Solve for x
    x = 6,903,427.82/2,222.44
  6. Step 6: Final answer
    x = 3,106.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.