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Finding the Third Proportional to 12,000 and 20,512

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Solution

The third proportional to 12,000 and 20,512 is: 35,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 20,512 = 20,512 : x
  2. Step 2: Convert to fraction form
    12,000/20,512 = 20,512/x
  3. Step 3: Cross multiply
    12,000x = 20,512 × 20,512
  4. Step 4: Simplify right side
    12,000x = 420,742,144
  5. Step 5: Solve for x
    x = 420,742,144/12,000
  6. Step 6: Final answer
    x = 35,061.85

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.