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Finding the Third Proportional to 25,469.44 and 54,424.41

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Solution

The third proportional to 25,469.44 and 54,424.41 is: 116,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.44 : 54,424.41 = 54,424.41 : x
  2. Step 2: Convert to fraction form
    25,469.44/54,424.41 = 54,424.41/x
  3. Step 3: Cross multiply
    25,469.44x = 54,424.41 × 54,424.41
  4. Step 4: Simplify right side
    25,469.44x = 2,962,015,995.67
  5. Step 5: Solve for x
    x = 2,962,015,995.67/25,469.44
  6. Step 6: Final answer
    x = 116,296.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.