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Finding the Third Proportional to 38,974.50 and 84,177

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Solution

The third proportional to 38,974.50 and 84,177 is: 181,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 84,177 = 84,177 : x
  2. Step 2: Convert to fraction form
    38,974.50/84,177 = 84,177/x
  3. Step 3: Cross multiply
    38,974.50x = 84,177 × 84,177
  4. Step 4: Simplify right side
    38,974.50x = 7,085,767,329
  5. Step 5: Solve for x
    x = 7,085,767,329/38,974.50
  6. Step 6: Final answer
    x = 181,805.21

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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.