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Finding the Third Proportional to 39,504 and 83,625

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Solution

The third proportional to 39,504 and 83,625 is: 177,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,504 : 83,625 = 83,625 : x
  2. Step 2: Convert to fraction form
    39,504/83,625 = 83,625/x
  3. Step 3: Cross multiply
    39,504x = 83,625 × 83,625
  4. Step 4: Simplify right side
    39,504x = 6,993,140,625
  5. Step 5: Solve for x
    x = 6,993,140,625/39,504
  6. Step 6: Final answer
    x = 177,023.61

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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.