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Finding the Third Proportional to 38,072 and 50,520

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Solution

The third proportional to 38,072 and 50,520 is: 67,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072 : 50,520 = 50,520 : x
  2. Step 2: Convert to fraction form
    38,072/50,520 = 50,520/x
  3. Step 3: Cross multiply
    38,072x = 50,520 × 50,520
  4. Step 4: Simplify right side
    38,072x = 2,552,270,400
  5. Step 5: Solve for x
    x = 2,552,270,400/38,072
  6. Step 6: Final answer
    x = 67,037.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.