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Finding the Third Proportional to 11,912 and 14,072

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Solution

The third proportional to 11,912 and 14,072 is: 16,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912 : 14,072 = 14,072 : x
  2. Step 2: Convert to fraction form
    11,912/14,072 = 14,072/x
  3. Step 3: Cross multiply
    11,912x = 14,072 × 14,072
  4. Step 4: Simplify right side
    11,912x = 198,021,184
  5. Step 5: Solve for x
    x = 198,021,184/11,912
  6. Step 6: Final answer
    x = 16,623.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.