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Finding the Third Proportional to 12,827.25 and 20,364.75

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Solution

The third proportional to 12,827.25 and 20,364.75 is: 32,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.25 : 20,364.75 = 20,364.75 : x
  2. Step 2: Convert to fraction form
    12,827.25/20,364.75 = 20,364.75/x
  3. Step 3: Cross multiply
    12,827.25x = 20,364.75 × 20,364.75
  4. Step 4: Simplify right side
    12,827.25x = 414,723,042.56
  5. Step 5: Solve for x
    x = 414,723,042.56/12,827.25
  6. Step 6: Final answer
    x = 32,331.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.