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Finding the Third Proportional to 4,824 and 11,243.25

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Solution

The third proportional to 4,824 and 11,243.25 is: 26,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 11,243.25 = 11,243.25 : x
  2. Step 2: Convert to fraction form
    4,824/11,243.25 = 11,243.25/x
  3. Step 3: Cross multiply
    4,824x = 11,243.25 × 11,243.25
  4. Step 4: Simplify right side
    4,824x = 126,410,670.56
  5. Step 5: Solve for x
    x = 126,410,670.56/4,824
  6. Step 6: Final answer
    x = 26,204.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.