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Finding the Third Proportional to 12,126 and 14,286

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Solution

The third proportional to 12,126 and 14,286 is: 16,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126 : 14,286 = 14,286 : x
  2. Step 2: Convert to fraction form
    12,126/14,286 = 14,286/x
  3. Step 3: Cross multiply
    12,126x = 14,286 × 14,286
  4. Step 4: Simplify right side
    12,126x = 204,089,796
  5. Step 5: Solve for x
    x = 204,089,796/12,126
  6. Step 6: Final answer
    x = 16,830.76

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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.