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Finding the Third Proportional to 43,041 and 65,794.50

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Solution

The third proportional to 43,041 and 65,794.50 is: 100,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,041 : 65,794.50 = 65,794.50 : x
  2. Step 2: Convert to fraction form
    43,041/65,794.50 = 65,794.50/x
  3. Step 3: Cross multiply
    43,041x = 65,794.50 × 65,794.50
  4. Step 4: Simplify right side
    43,041x = 4,328,916,230.25
  5. Step 5: Solve for x
    x = 4,328,916,230.25/43,041
  6. Step 6: Final answer
    x = 100,576.57

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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.