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Finding the Third Proportional to 6,296 and 14,642

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Solution

The third proportional to 6,296 and 14,642 is: 34,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 14,642 = 14,642 : x
  2. Step 2: Convert to fraction form
    6,296/14,642 = 14,642/x
  3. Step 3: Cross multiply
    6,296x = 14,642 × 14,642
  4. Step 4: Simplify right side
    6,296x = 214,388,164
  5. Step 5: Solve for x
    x = 214,388,164/6,296
  6. Step 6: Final answer
    x = 34,051.49

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.