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Finding the Third Proportional to 23,584.50 and 50,542.31

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Solution

The third proportional to 23,584.50 and 50,542.31 is: 108,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.50 : 50,542.31 = 50,542.31 : x
  2. Step 2: Convert to fraction form
    23,584.50/50,542.31 = 50,542.31/x
  3. Step 3: Cross multiply
    23,584.50x = 50,542.31 × 50,542.31
  4. Step 4: Simplify right side
    23,584.50x = 2,554,525,352.85
  5. Step 5: Solve for x
    x = 2,554,525,352.85/23,584.50
  6. Step 6: Final answer
    x = 108,313.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.