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Finding the Third Proportional to 38,861.44 and 59,419.69

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Solution

The third proportional to 38,861.44 and 59,419.69 is: 90,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,861.44 : 59,419.69 = 59,419.69 : x
  2. Step 2: Convert to fraction form
    38,861.44/59,419.69 = 59,419.69/x
  3. Step 3: Cross multiply
    38,861.44x = 59,419.69 × 59,419.69
  4. Step 4: Simplify right side
    38,861.44x = 3,530,699,262.60
  5. Step 5: Solve for x
    x = 3,530,699,262.60/38,861.44
  6. Step 6: Final answer
    x = 90,853.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.