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Finding the Third Proportional to 10,296 and 14,274

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Solution

The third proportional to 10,296 and 14,274 is: 19,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 14,274 = 14,274 : x
  2. Step 2: Convert to fraction form
    10,296/14,274 = 14,274/x
  3. Step 3: Cross multiply
    10,296x = 14,274 × 14,274
  4. Step 4: Simplify right side
    10,296x = 203,747,076
  5. Step 5: Solve for x
    x = 203,747,076/10,296
  6. Step 6: Final answer
    x = 19,788.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.