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Finding the Third Proportional to 38,905 and 82,993

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Solution

The third proportional to 38,905 and 82,993 is: 177,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,905 : 82,993 = 82,993 : x
  2. Step 2: Convert to fraction form
    38,905/82,993 = 82,993/x
  3. Step 3: Cross multiply
    38,905x = 82,993 × 82,993
  4. Step 4: Simplify right side
    38,905x = 6,887,838,049
  5. Step 5: Solve for x
    x = 6,887,838,049/38,905
  6. Step 6: Final answer
    x = 177,042.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.