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Finding the Third Proportional to 6,447 and 14,286

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Solution

The third proportional to 6,447 and 14,286 is: 31,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 14,286 = 14,286 : x
  2. Step 2: Convert to fraction form
    6,447/14,286 = 14,286/x
  3. Step 3: Cross multiply
    6,447x = 14,286 × 14,286
  4. Step 4: Simplify right side
    6,447x = 204,089,796
  5. Step 5: Solve for x
    x = 204,089,796/6,447
  6. Step 6: Final answer
    x = 31,656.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.