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Finding the Third Proportional to 38,971.50 and 84,171

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Solution

The third proportional to 38,971.50 and 84,171 is: 181,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.50 : 84,171 = 84,171 : x
  2. Step 2: Convert to fraction form
    38,971.50/84,171 = 84,171/x
  3. Step 3: Cross multiply
    38,971.50x = 84,171 × 84,171
  4. Step 4: Simplify right side
    38,971.50x = 7,084,757,241
  5. Step 5: Solve for x
    x = 7,084,757,241/38,971.50
  6. Step 6: Final answer
    x = 181,793.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.