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Finding the Third Proportional to 11,112 and 14,876

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Solution

The third proportional to 11,112 and 14,876 is: 19,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112 : 14,876 = 14,876 : x
  2. Step 2: Convert to fraction form
    11,112/14,876 = 14,876/x
  3. Step 3: Cross multiply
    11,112x = 14,876 × 14,876
  4. Step 4: Simplify right side
    11,112x = 221,295,376
  5. Step 5: Solve for x
    x = 221,295,376/11,112
  6. Step 6: Final answer
    x = 19,914.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.