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Finding the Third Proportional to 38,215 and 50,967

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Solution

The third proportional to 38,215 and 50,967 is: 67,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215 : 50,967 = 50,967 : x
  2. Step 2: Convert to fraction form
    38,215/50,967 = 50,967/x
  3. Step 3: Cross multiply
    38,215x = 50,967 × 50,967
  4. Step 4: Simplify right side
    38,215x = 2,597,635,089
  5. Step 5: Solve for x
    x = 2,597,635,089/38,215
  6. Step 6: Final answer
    x = 67,974.23

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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.