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Finding the Third Proportional to 30,167 and 50,009

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Solution

The third proportional to 30,167 and 50,009 is: 82,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167 : 50,009 = 50,009 : x
  2. Step 2: Convert to fraction form
    30,167/50,009 = 50,009/x
  3. Step 3: Cross multiply
    30,167x = 50,009 × 50,009
  4. Step 4: Simplify right side
    30,167x = 2,500,900,081
  5. Step 5: Solve for x
    x = 2,500,900,081/30,167
  6. Step 6: Final answer
    x = 82,901.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.