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Finding the Third Proportional to 33,128 and 49,241

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Solution

The third proportional to 33,128 and 49,241 is: 73,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,128 : 49,241 = 49,241 : x
  2. Step 2: Convert to fraction form
    33,128/49,241 = 49,241/x
  3. Step 3: Cross multiply
    33,128x = 49,241 × 49,241
  4. Step 4: Simplify right side
    33,128x = 2,424,676,081
  5. Step 5: Solve for x
    x = 2,424,676,081/33,128
  6. Step 6: Final answer
    x = 73,191.14

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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.