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Finding the Third Proportional to 10,462 and 16,241

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Solution

The third proportional to 10,462 and 16,241 is: 25,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 16,241 = 16,241 : x
  2. Step 2: Convert to fraction form
    10,462/16,241 = 16,241/x
  3. Step 3: Cross multiply
    10,462x = 16,241 × 16,241
  4. Step 4: Simplify right side
    10,462x = 263,770,081
  5. Step 5: Solve for x
    x = 263,770,081/10,462
  6. Step 6: Final answer
    x = 25,212.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.