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Finding the Third Proportional to 8,007 and 11,925

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Solution

The third proportional to 8,007 and 11,925 is: 17,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007 : 11,925 = 11,925 : x
  2. Step 2: Convert to fraction form
    8,007/11,925 = 11,925/x
  3. Step 3: Cross multiply
    8,007x = 11,925 × 11,925
  4. Step 4: Simplify right side
    8,007x = 142,205,625
  5. Step 5: Solve for x
    x = 142,205,625/8,007
  6. Step 6: Final answer
    x = 17,760.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.