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Finding the Third Proportional to 12,000 and 17,052

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Solution

The third proportional to 12,000 and 17,052 is: 24,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 17,052 = 17,052 : x
  2. Step 2: Convert to fraction form
    12,000/17,052 = 17,052/x
  3. Step 3: Cross multiply
    12,000x = 17,052 × 17,052
  4. Step 4: Simplify right side
    12,000x = 290,770,704
  5. Step 5: Solve for x
    x = 290,770,704/12,000
  6. Step 6: Final answer
    x = 24,230.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.