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Finding the Third Proportional to 38,916 and 84,384

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Solution

The third proportional to 38,916 and 84,384 is: 182,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,916 : 84,384 = 84,384 : x
  2. Step 2: Convert to fraction form
    38,916/84,384 = 84,384/x
  3. Step 3: Cross multiply
    38,916x = 84,384 × 84,384
  4. Step 4: Simplify right side
    38,916x = 7,120,659,456
  5. Step 5: Solve for x
    x = 7,120,659,456/38,916
  6. Step 6: Final answer
    x = 182,975.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.