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Finding the Third Proportional to 4,014 and 6,433

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Solution

The third proportional to 4,014 and 6,433 is: 10,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 6,433 = 6,433 : x
  2. Step 2: Convert to fraction form
    4,014/6,433 = 6,433/x
  3. Step 3: Cross multiply
    4,014x = 6,433 × 6,433
  4. Step 4: Simplify right side
    4,014x = 41,383,489
  5. Step 5: Solve for x
    x = 41,383,489/4,014
  6. Step 6: Final answer
    x = 10,309.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.