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Finding the Third Proportional to 23,171.25 and 49,950

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Solution

The third proportional to 23,171.25 and 49,950 is: 107,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.25 : 49,950 = 49,950 : x
  2. Step 2: Convert to fraction form
    23,171.25/49,950 = 49,950/x
  3. Step 3: Cross multiply
    23,171.25x = 49,950 × 49,950
  4. Step 4: Simplify right side
    23,171.25x = 2,495,002,500
  5. Step 5: Solve for x
    x = 2,495,002,500/23,171.25
  6. Step 6: Final answer
    x = 107,676.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.