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Finding the Third Proportional to 10,467 and 12,105

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Solution

The third proportional to 10,467 and 12,105 is: 13,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 12,105 = 12,105 : x
  2. Step 2: Convert to fraction form
    10,467/12,105 = 12,105/x
  3. Step 3: Cross multiply
    10,467x = 12,105 × 12,105
  4. Step 4: Simplify right side
    10,467x = 146,531,025
  5. Step 5: Solve for x
    x = 146,531,025/10,467
  6. Step 6: Final answer
    x = 13,999.33

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.