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Finding the Third Proportional to 33,190 and 49,128

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Solution

The third proportional to 33,190 and 49,128 is: 72,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190 : 49,128 = 49,128 : x
  2. Step 2: Convert to fraction form
    33,190/49,128 = 49,128/x
  3. Step 3: Cross multiply
    33,190x = 49,128 × 49,128
  4. Step 4: Simplify right side
    33,190x = 2,413,560,384
  5. Step 5: Solve for x
    x = 2,413,560,384/33,190
  6. Step 6: Final answer
    x = 72,719.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.