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Finding the Third Proportional to 23,351 and 49,982

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Solution

The third proportional to 23,351 and 49,982 is: 106,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351 : 49,982 = 49,982 : x
  2. Step 2: Convert to fraction form
    23,351/49,982 = 49,982/x
  3. Step 3: Cross multiply
    23,351x = 49,982 × 49,982
  4. Step 4: Simplify right side
    23,351x = 2,498,200,324
  5. Step 5: Solve for x
    x = 2,498,200,324/23,351
  6. Step 6: Final answer
    x = 106,984.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.