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Finding the Third Proportional to 33,901 and 52,916

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Solution

The third proportional to 33,901 and 52,916 is: 82,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,901 : 52,916 = 52,916 : x
  2. Step 2: Convert to fraction form
    33,901/52,916 = 52,916/x
  3. Step 3: Cross multiply
    33,901x = 52,916 × 52,916
  4. Step 4: Simplify right side
    33,901x = 2,800,103,056
  5. Step 5: Solve for x
    x = 2,800,103,056/33,901
  6. Step 6: Final answer
    x = 82,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.