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Finding the Third Proportional to 38,933.50 and 55,674.50

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Solution

The third proportional to 38,933.50 and 55,674.50 is: 79,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,933.50 : 55,674.50 = 55,674.50 : x
  2. Step 2: Convert to fraction form
    38,933.50/55,674.50 = 55,674.50/x
  3. Step 3: Cross multiply
    38,933.50x = 55,674.50 × 55,674.50
  4. Step 4: Simplify right side
    38,933.50x = 3,099,649,950.25
  5. Step 5: Solve for x
    x = 3,099,649,950.25/38,933.50
  6. Step 6: Final answer
    x = 79,613.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.