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Finding the Third Proportional to 6,057 and 12,339

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Solution

The third proportional to 6,057 and 12,339 is: 25,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 12,339 = 12,339 : x
  2. Step 2: Convert to fraction form
    6,057/12,339 = 12,339/x
  3. Step 3: Cross multiply
    6,057x = 12,339 × 12,339
  4. Step 4: Simplify right side
    6,057x = 152,250,921
  5. Step 5: Solve for x
    x = 152,250,921/6,057
  6. Step 6: Final answer
    x = 25,136.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.