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Finding the Third Proportional to 12,007 and 15,933

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Solution

The third proportional to 12,007 and 15,933 is: 21,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007 : 15,933 = 15,933 : x
  2. Step 2: Convert to fraction form
    12,007/15,933 = 15,933/x
  3. Step 3: Cross multiply
    12,007x = 15,933 × 15,933
  4. Step 4: Simplify right side
    12,007x = 253,860,489
  5. Step 5: Solve for x
    x = 253,860,489/12,007
  6. Step 6: Final answer
    x = 21,142.71

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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.