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Finding the Third Proportional to 23,462 and 47,876

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Solution

The third proportional to 23,462 and 47,876 is: 97,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462 : 47,876 = 47,876 : x
  2. Step 2: Convert to fraction form
    23,462/47,876 = 47,876/x
  3. Step 3: Cross multiply
    23,462x = 47,876 × 47,876
  4. Step 4: Simplify right side
    23,462x = 2,292,111,376
  5. Step 5: Solve for x
    x = 2,292,111,376/23,462
  6. Step 6: Final answer
    x = 97,694.63

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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.