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Finding the Third Proportional to 38,029 and 84,793

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Solution

The third proportional to 38,029 and 84,793 is: 189,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,029 : 84,793 = 84,793 : x
  2. Step 2: Convert to fraction form
    38,029/84,793 = 84,793/x
  3. Step 3: Cross multiply
    38,029x = 84,793 × 84,793
  4. Step 4: Simplify right side
    38,029x = 7,189,852,849
  5. Step 5: Solve for x
    x = 7,189,852,849/38,029
  6. Step 6: Final answer
    x = 189,062.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.