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Finding the Third Proportional to 12,550.50 and 18,826.31

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Solution

The third proportional to 12,550.50 and 18,826.31 is: 28,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550.50 : 18,826.31 = 18,826.31 : x
  2. Step 2: Convert to fraction form
    12,550.50/18,826.31 = 18,826.31/x
  3. Step 3: Cross multiply
    12,550.50x = 18,826.31 × 18,826.31
  4. Step 4: Simplify right side
    12,550.50x = 354,430,042.35
  5. Step 5: Solve for x
    x = 354,430,042.35/12,550.50
  6. Step 6: Final answer
    x = 28,240.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.