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Finding the Third Proportional to 33,116 and 50,102

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Solution

The third proportional to 33,116 and 50,102 is: 75,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116 : 50,102 = 50,102 : x
  2. Step 2: Convert to fraction form
    33,116/50,102 = 50,102/x
  3. Step 3: Cross multiply
    33,116x = 50,102 × 50,102
  4. Step 4: Simplify right side
    33,116x = 2,510,210,404
  5. Step 5: Solve for x
    x = 2,510,210,404/33,116
  6. Step 6: Final answer
    x = 75,800.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.