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Finding the Third Proportional to 15,077 and 33,161

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Solution

The third proportional to 15,077 and 33,161 is: 72,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077 : 33,161 = 33,161 : x
  2. Step 2: Convert to fraction form
    15,077/33,161 = 33,161/x
  3. Step 3: Cross multiply
    15,077x = 33,161 × 33,161
  4. Step 4: Simplify right side
    15,077x = 1,099,651,921
  5. Step 5: Solve for x
    x = 1,099,651,921/15,077
  6. Step 6: Final answer
    x = 72,935.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.