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Finding the Third Proportional to 38,245.50 and 86,406.75

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Solution

The third proportional to 38,245.50 and 86,406.75 is: 195,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.50 : 86,406.75 = 86,406.75 : x
  2. Step 2: Convert to fraction form
    38,245.50/86,406.75 = 86,406.75/x
  3. Step 3: Cross multiply
    38,245.50x = 86,406.75 × 86,406.75
  4. Step 4: Simplify right side
    38,245.50x = 7,466,126,445.56
  5. Step 5: Solve for x
    x = 7,466,126,445.56/38,245.50
  6. Step 6: Final answer
    x = 195,215.81

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.