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Finding the Third Proportional to 14,296 and 28,976

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Solution

The third proportional to 14,296 and 28,976 is: 58,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296 : 28,976 = 28,976 : x
  2. Step 2: Convert to fraction form
    14,296/28,976 = 28,976/x
  3. Step 3: Cross multiply
    14,296x = 28,976 × 28,976
  4. Step 4: Simplify right side
    14,296x = 839,608,576
  5. Step 5: Solve for x
    x = 839,608,576/14,296
  6. Step 6: Final answer
    x = 58,730.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.