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Finding the Third Proportional to 23,211.56 and 49,202.44

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Solution

The third proportional to 23,211.56 and 49,202.44 is: 104,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.56 : 49,202.44 = 49,202.44 : x
  2. Step 2: Convert to fraction form
    23,211.56/49,202.44 = 49,202.44/x
  3. Step 3: Cross multiply
    23,211.56x = 49,202.44 × 49,202.44
  4. Step 4: Simplify right side
    23,211.56x = 2,420,879,855.94
  5. Step 5: Solve for x
    x = 2,420,879,855.94/23,211.56
  6. Step 6: Final answer
    x = 104,296.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.