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Finding the Third Proportional to 3,112 and 6,433

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Solution

The third proportional to 3,112 and 6,433 is: 13,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 6,433 = 6,433 : x
  2. Step 2: Convert to fraction form
    3,112/6,433 = 6,433/x
  3. Step 3: Cross multiply
    3,112x = 6,433 × 6,433
  4. Step 4: Simplify right side
    3,112x = 41,383,489
  5. Step 5: Solve for x
    x = 41,383,489/3,112
  6. Step 6: Final answer
    x = 13,298.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.