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Finding the Third Proportional to 39,362 and 84,016

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Solution

The third proportional to 39,362 and 84,016 is: 179,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,362 : 84,016 = 84,016 : x
  2. Step 2: Convert to fraction form
    39,362/84,016 = 84,016/x
  3. Step 3: Cross multiply
    39,362x = 84,016 × 84,016
  4. Step 4: Simplify right side
    39,362x = 7,058,688,256
  5. Step 5: Solve for x
    x = 7,058,688,256/39,362
  6. Step 6: Final answer
    x = 179,327.48

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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.