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Finding the Third Proportional to 4,016 and 8,128

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Solution

The third proportional to 4,016 and 8,128 is: 16,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 8,128 = 8,128 : x
  2. Step 2: Convert to fraction form
    4,016/8,128 = 8,128/x
  3. Step 3: Cross multiply
    4,016x = 8,128 × 8,128
  4. Step 4: Simplify right side
    4,016x = 66,064,384
  5. Step 5: Solve for x
    x = 66,064,384/4,016
  6. Step 6: Final answer
    x = 16,450.29

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.