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Finding the Third Proportional to 7,462 and 10,234

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Solution

The third proportional to 7,462 and 10,234 is: 14,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462 : 10,234 = 10,234 : x
  2. Step 2: Convert to fraction form
    7,462/10,234 = 10,234/x
  3. Step 3: Cross multiply
    7,462x = 10,234 × 10,234
  4. Step 4: Simplify right side
    7,462x = 104,734,756
  5. Step 5: Solve for x
    x = 104,734,756/7,462
  6. Step 6: Final answer
    x = 14,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.