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Finding the Third Proportional to 4,144 and 7,848

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Solution

The third proportional to 4,144 and 7,848 is: 14,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144 : 7,848 = 7,848 : x
  2. Step 2: Convert to fraction form
    4,144/7,848 = 7,848/x
  3. Step 3: Cross multiply
    4,144x = 7,848 × 7,848
  4. Step 4: Simplify right side
    4,144x = 61,591,104
  5. Step 5: Solve for x
    x = 61,591,104/4,144
  6. Step 6: Final answer
    x = 14,862.72

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.