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Finding the Third Proportional to 38,530 and 61,027

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Solution

The third proportional to 38,530 and 61,027 is: 96,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530 : 61,027 = 61,027 : x
  2. Step 2: Convert to fraction form
    38,530/61,027 = 61,027/x
  3. Step 3: Cross multiply
    38,530x = 61,027 × 61,027
  4. Step 4: Simplify right side
    38,530x = 3,724,294,729
  5. Step 5: Solve for x
    x = 3,724,294,729/38,530
  6. Step 6: Final answer
    x = 96,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.