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Finding the Third Proportional to 30,930 and 67,530

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Solution

The third proportional to 30,930 and 67,530 is: 147,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930 : 67,530 = 67,530 : x
  2. Step 2: Convert to fraction form
    30,930/67,530 = 67,530/x
  3. Step 3: Cross multiply
    30,930x = 67,530 × 67,530
  4. Step 4: Simplify right side
    30,930x = 4,560,300,900
  5. Step 5: Solve for x
    x = 4,560,300,900/30,930
  6. Step 6: Final answer
    x = 147,439.41

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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.