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Finding the Third Proportional to 33,615 and 73,125

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Solution

The third proportional to 33,615 and 73,125 is: 159,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615 : 73,125 = 73,125 : x
  2. Step 2: Convert to fraction form
    33,615/73,125 = 73,125/x
  3. Step 3: Cross multiply
    33,615x = 73,125 × 73,125
  4. Step 4: Simplify right side
    33,615x = 5,347,265,625
  5. Step 5: Solve for x
    x = 5,347,265,625/33,615
  6. Step 6: Final answer
    x = 159,073.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.