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Finding the Third Proportional to 17,000 and 25,500

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Solution

The third proportional to 17,000 and 25,500 is: 38,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000 : 25,500 = 25,500 : x
  2. Step 2: Convert to fraction form
    17,000/25,500 = 25,500/x
  3. Step 3: Cross multiply
    17,000x = 25,500 × 25,500
  4. Step 4: Simplify right side
    17,000x = 650,250,000
  5. Step 5: Solve for x
    x = 650,250,000/17,000
  6. Step 6: Final answer
    x = 38,250

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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.