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Finding the Third Proportional to 33,028 and 71,888

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Solution

The third proportional to 33,028 and 71,888 is: 156,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 71,888 = 71,888 : x
  2. Step 2: Convert to fraction form
    33,028/71,888 = 71,888/x
  3. Step 3: Cross multiply
    33,028x = 71,888 × 71,888
  4. Step 4: Simplify right side
    33,028x = 5,167,884,544
  5. Step 5: Solve for x
    x = 5,167,884,544/33,028
  6. Step 6: Final answer
    x = 156,469.80

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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.