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Finding the Third Proportional to 39,272 and 55,525

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Solution

The third proportional to 39,272 and 55,525 is: 78,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,272 : 55,525 = 55,525 : x
  2. Step 2: Convert to fraction form
    39,272/55,525 = 55,525/x
  3. Step 3: Cross multiply
    39,272x = 55,525 × 55,525
  4. Step 4: Simplify right side
    39,272x = 3,083,025,625
  5. Step 5: Solve for x
    x = 3,083,025,625/39,272
  6. Step 6: Final answer
    x = 78,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.