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Finding the Third Proportional to 20,091.38 and 48,608.44

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Solution

The third proportional to 20,091.38 and 48,608.44 is: 117,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.38 : 48,608.44 = 48,608.44 : x
  2. Step 2: Convert to fraction form
    20,091.38/48,608.44 = 48,608.44/x
  3. Step 3: Cross multiply
    20,091.38x = 48,608.44 × 48,608.44
  4. Step 4: Simplify right side
    20,091.38x = 2,362,780,196.19
  5. Step 5: Solve for x
    x = 2,362,780,196.19/20,091.38
  6. Step 6: Final answer
    x = 117,601.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.