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Finding the Third Proportional to 12,942 and 14,286

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Solution

The third proportional to 12,942 and 14,286 is: 15,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 14,286 = 14,286 : x
  2. Step 2: Convert to fraction form
    12,942/14,286 = 14,286/x
  3. Step 3: Cross multiply
    12,942x = 14,286 × 14,286
  4. Step 4: Simplify right side
    12,942x = 204,089,796
  5. Step 5: Solve for x
    x = 204,089,796/12,942
  6. Step 6: Final answer
    x = 15,769.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.