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Finding the Third Proportional to 2,848 and 5,390

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Solution

The third proportional to 2,848 and 5,390 is: 10,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848 : 5,390 = 5,390 : x
  2. Step 2: Convert to fraction form
    2,848/5,390 = 5,390/x
  3. Step 3: Cross multiply
    2,848x = 5,390 × 5,390
  4. Step 4: Simplify right side
    2,848x = 29,052,100
  5. Step 5: Solve for x
    x = 29,052,100/2,848
  6. Step 6: Final answer
    x = 10,200.88

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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.