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Finding the Third Proportional to 12,825 and 20,310.75

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Solution

The third proportional to 12,825 and 20,310.75 is: 32,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 20,310.75 = 20,310.75 : x
  2. Step 2: Convert to fraction form
    12,825/20,310.75 = 20,310.75/x
  3. Step 3: Cross multiply
    12,825x = 20,310.75 × 20,310.75
  4. Step 4: Simplify right side
    12,825x = 412,526,565.56
  5. Step 5: Solve for x
    x = 412,526,565.56/12,825
  6. Step 6: Final answer
    x = 32,165.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.