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Finding the Third Proportional to 25,433.44 and 55,245.09

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Solution

The third proportional to 25,433.44 and 55,245.09 is: 120,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,433.44 : 55,245.09 = 55,245.09 : x
  2. Step 2: Convert to fraction form
    25,433.44/55,245.09 = 55,245.09/x
  3. Step 3: Cross multiply
    25,433.44x = 55,245.09 × 55,245.09
  4. Step 4: Simplify right side
    25,433.44x = 3,052,020,383.45
  5. Step 5: Solve for x
    x = 3,052,020,383.45/25,433.44
  6. Step 6: Final answer
    x = 120,000.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.