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Finding the Third Proportional to 3,462 and 7,500

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Solution

The third proportional to 3,462 and 7,500 is: 16,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 7,500 = 7,500 : x
  2. Step 2: Convert to fraction form
    3,462/7,500 = 7,500/x
  3. Step 3: Cross multiply
    3,462x = 7,500 × 7,500
  4. Step 4: Simplify right side
    3,462x = 56,250,000
  5. Step 5: Solve for x
    x = 56,250,000/3,462
  6. Step 6: Final answer
    x = 16,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.