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Finding the Third Proportional to 14,096 and 16,112

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Solution

The third proportional to 14,096 and 16,112 is: 18,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 16,112 = 16,112 : x
  2. Step 2: Convert to fraction form
    14,096/16,112 = 16,112/x
  3. Step 3: Cross multiply
    14,096x = 16,112 × 16,112
  4. Step 4: Simplify right side
    14,096x = 259,596,544
  5. Step 5: Solve for x
    x = 259,596,544/14,096
  6. Step 6: Final answer
    x = 18,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.