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Finding the Third Proportional to 6,858 and 16,001

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Solution

The third proportional to 6,858 and 16,001 is: 37,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 16,001 = 16,001 : x
  2. Step 2: Convert to fraction form
    6,858/16,001 = 16,001/x
  3. Step 3: Cross multiply
    6,858x = 16,001 × 16,001
  4. Step 4: Simplify right side
    6,858x = 256,032,001
  5. Step 5: Solve for x
    x = 256,032,001/6,858
  6. Step 6: Final answer
    x = 37,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.