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Finding the Third Proportional to 33,695 and 51,573

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Solution

The third proportional to 33,695 and 51,573 is: 78,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695 : 51,573 = 51,573 : x
  2. Step 2: Convert to fraction form
    33,695/51,573 = 51,573/x
  3. Step 3: Cross multiply
    33,695x = 51,573 × 51,573
  4. Step 4: Simplify right side
    33,695x = 2,659,774,329
  5. Step 5: Solve for x
    x = 2,659,774,329/33,695
  6. Step 6: Final answer
    x = 78,936.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.