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Finding the Third Proportional to 36,350.50 and 78,429.25

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Solution

The third proportional to 36,350.50 and 78,429.25 is: 169,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,350.50 : 78,429.25 = 78,429.25 : x
  2. Step 2: Convert to fraction form
    36,350.50/78,429.25 = 78,429.25/x
  3. Step 3: Cross multiply
    36,350.50x = 78,429.25 × 78,429.25
  4. Step 4: Simplify right side
    36,350.50x = 6,151,147,255.56
  5. Step 5: Solve for x
    x = 6,151,147,255.56/36,350.50
  6. Step 6: Final answer
    x = 169,217.68

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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.