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Finding the Third Proportional to 39,578.25 and 84,014.25

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Solution

The third proportional to 39,578.25 and 84,014.25 is: 178,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,578.25 : 84,014.25 = 84,014.25 : x
  2. Step 2: Convert to fraction form
    39,578.25/84,014.25 = 84,014.25/x
  3. Step 3: Cross multiply
    39,578.25x = 84,014.25 × 84,014.25
  4. Step 4: Simplify right side
    39,578.25x = 7,058,394,203.06
  5. Step 5: Solve for x
    x = 7,058,394,203.06/39,578.25
  6. Step 6: Final answer
    x = 178,340.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.