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Finding the Third Proportional to 30,611 and 67,801

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Solution

The third proportional to 30,611 and 67,801 is: 150,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611 : 67,801 = 67,801 : x
  2. Step 2: Convert to fraction form
    30,611/67,801 = 67,801/x
  3. Step 3: Cross multiply
    30,611x = 67,801 × 67,801
  4. Step 4: Simplify right side
    30,611x = 4,596,975,601
  5. Step 5: Solve for x
    x = 4,596,975,601/30,611
  6. Step 6: Final answer
    x = 150,173.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.