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Finding the Third Proportional to 30,728.50 and 41,516.75

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Solution

The third proportional to 30,728.50 and 41,516.75 is: 56,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.50 : 41,516.75 = 41,516.75 : x
  2. Step 2: Convert to fraction form
    30,728.50/41,516.75 = 41,516.75/x
  3. Step 3: Cross multiply
    30,728.50x = 41,516.75 × 41,516.75
  4. Step 4: Simplify right side
    30,728.50x = 1,723,640,530.56
  5. Step 5: Solve for x
    x = 1,723,640,530.56/30,728.50
  6. Step 6: Final answer
    x = 56,092.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.