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Finding the Third Proportional to 6,357 and 13,161

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Solution

The third proportional to 6,357 and 13,161 is: 27,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 13,161 = 13,161 : x
  2. Step 2: Convert to fraction form
    6,357/13,161 = 13,161/x
  3. Step 3: Cross multiply
    6,357x = 13,161 × 13,161
  4. Step 4: Simplify right side
    6,357x = 173,211,921
  5. Step 5: Solve for x
    x = 173,211,921/6,357
  6. Step 6: Final answer
    x = 27,247.43

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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.