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Finding the Third Proportional to 38,468 and 79,993

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Solution

The third proportional to 38,468 and 79,993 is: 166,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468 : 79,993 = 79,993 : x
  2. Step 2: Convert to fraction form
    38,468/79,993 = 79,993/x
  3. Step 3: Cross multiply
    38,468x = 79,993 × 79,993
  4. Step 4: Simplify right side
    38,468x = 6,398,880,049
  5. Step 5: Solve for x
    x = 6,398,880,049/38,468
  6. Step 6: Final answer
    x = 166,342.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.