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Finding the Third Proportional to 13,937 and 28,234

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Solution

The third proportional to 13,937 and 28,234 is: 57,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937 : 28,234 = 28,234 : x
  2. Step 2: Convert to fraction form
    13,937/28,234 = 28,234/x
  3. Step 3: Cross multiply
    13,937x = 28,234 × 28,234
  4. Step 4: Simplify right side
    13,937x = 797,158,756
  5. Step 5: Solve for x
    x = 797,158,756/13,937
  6. Step 6: Final answer
    x = 57,197.30

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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.