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Finding the Third Proportional to 3,231 and 5,141

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Solution

The third proportional to 3,231 and 5,141 is: 8,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 5,141 = 5,141 : x
  2. Step 2: Convert to fraction form
    3,231/5,141 = 5,141/x
  3. Step 3: Cross multiply
    3,231x = 5,141 × 5,141
  4. Step 4: Simplify right side
    3,231x = 26,429,881
  5. Step 5: Solve for x
    x = 26,429,881/3,231
  6. Step 6: Final answer
    x = 8,180.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.