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Finding the Third Proportional to 33,510 and 50,085

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Solution

The third proportional to 33,510 and 50,085 is: 74,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,510 : 50,085 = 50,085 : x
  2. Step 2: Convert to fraction form
    33,510/50,085 = 50,085/x
  3. Step 3: Cross multiply
    33,510x = 50,085 × 50,085
  4. Step 4: Simplify right side
    33,510x = 2,508,507,225
  5. Step 5: Solve for x
    x = 2,508,507,225/33,510
  6. Step 6: Final answer
    x = 74,858.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.