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Finding the Third Proportional to 24,286 and 49,462

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Solution

The third proportional to 24,286 and 49,462 is: 100,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286 : 49,462 = 49,462 : x
  2. Step 2: Convert to fraction form
    24,286/49,462 = 49,462/x
  3. Step 3: Cross multiply
    24,286x = 49,462 × 49,462
  4. Step 4: Simplify right side
    24,286x = 2,446,489,444
  5. Step 5: Solve for x
    x = 2,446,489,444/24,286
  6. Step 6: Final answer
    x = 100,736.62

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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.