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Finding the Third Proportional to 30,850 and 67,286

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Solution

The third proportional to 30,850 and 67,286 is: 146,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850 : 67,286 = 67,286 : x
  2. Step 2: Convert to fraction form
    30,850/67,286 = 67,286/x
  3. Step 3: Cross multiply
    30,850x = 67,286 × 67,286
  4. Step 4: Simplify right side
    30,850x = 4,527,405,796
  5. Step 5: Solve for x
    x = 4,527,405,796/30,850
  6. Step 6: Final answer
    x = 146,755.46

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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.