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Finding the Third Proportional to 23,170 and 50,948

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Solution

The third proportional to 23,170 and 50,948 is: 112,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170 : 50,948 = 50,948 : x
  2. Step 2: Convert to fraction form
    23,170/50,948 = 50,948/x
  3. Step 3: Cross multiply
    23,170x = 50,948 × 50,948
  4. Step 4: Simplify right side
    23,170x = 2,595,698,704
  5. Step 5: Solve for x
    x = 2,595,698,704/23,170
  6. Step 6: Final answer
    x = 112,028.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.