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Finding the Third Proportional to 12,058 and 16,001

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Solution

The third proportional to 12,058 and 16,001 is: 21,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058 : 16,001 = 16,001 : x
  2. Step 2: Convert to fraction form
    12,058/16,001 = 16,001/x
  3. Step 3: Cross multiply
    12,058x = 16,001 × 16,001
  4. Step 4: Simplify right side
    12,058x = 256,032,001
  5. Step 5: Solve for x
    x = 256,032,001/12,058
  6. Step 6: Final answer
    x = 21,233.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.