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Finding the Third Proportional to 4,224 and 10,848

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Solution

The third proportional to 4,224 and 10,848 is: 27,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224 : 10,848 = 10,848 : x
  2. Step 2: Convert to fraction form
    4,224/10,848 = 10,848/x
  3. Step 3: Cross multiply
    4,224x = 10,848 × 10,848
  4. Step 4: Simplify right side
    4,224x = 117,679,104
  5. Step 5: Solve for x
    x = 117,679,104/4,224
  6. Step 6: Final answer
    x = 27,859.64

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.