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Finding the Third Proportional to 38,144 and 50,928

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Solution

The third proportional to 38,144 and 50,928 is: 67,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144 : 50,928 = 50,928 : x
  2. Step 2: Convert to fraction form
    38,144/50,928 = 50,928/x
  3. Step 3: Cross multiply
    38,144x = 50,928 × 50,928
  4. Step 4: Simplify right side
    38,144x = 2,593,661,184
  5. Step 5: Solve for x
    x = 2,593,661,184/38,144
  6. Step 6: Final answer
    x = 67,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.