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Finding the Third Proportional to 4,824 and 11,064

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Solution

The third proportional to 4,824 and 11,064 is: 25,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 11,064 = 11,064 : x
  2. Step 2: Convert to fraction form
    4,824/11,064 = 11,064/x
  3. Step 3: Cross multiply
    4,824x = 11,064 × 11,064
  4. Step 4: Simplify right side
    4,824x = 122,412,096
  5. Step 5: Solve for x
    x = 122,412,096/4,824
  6. Step 6: Final answer
    x = 25,375.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.