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Finding the Third Proportional to 30,108 and 34,500

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Solution

The third proportional to 30,108 and 34,500 is: 39,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108 : 34,500 = 34,500 : x
  2. Step 2: Convert to fraction form
    30,108/34,500 = 34,500/x
  3. Step 3: Cross multiply
    30,108x = 34,500 × 34,500
  4. Step 4: Simplify right side
    30,108x = 1,190,250,000
  5. Step 5: Solve for x
    x = 1,190,250,000/30,108
  6. Step 6: Final answer
    x = 39,532.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.