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Finding the Third Proportional to 8,012 and 17,500

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Solution

The third proportional to 8,012 and 17,500 is: 38,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012 : 17,500 = 17,500 : x
  2. Step 2: Convert to fraction form
    8,012/17,500 = 17,500/x
  3. Step 3: Cross multiply
    8,012x = 17,500 × 17,500
  4. Step 4: Simplify right side
    8,012x = 306,250,000
  5. Step 5: Solve for x
    x = 306,250,000/8,012
  6. Step 6: Final answer
    x = 38,223.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.