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Finding the Third Proportional to 27,689 and 41,525

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Solution

The third proportional to 27,689 and 41,525 is: 62,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689 : 41,525 = 41,525 : x
  2. Step 2: Convert to fraction form
    27,689/41,525 = 41,525/x
  3. Step 3: Cross multiply
    27,689x = 41,525 × 41,525
  4. Step 4: Simplify right side
    27,689x = 1,724,325,625
  5. Step 5: Solve for x
    x = 1,724,325,625/27,689
  6. Step 6: Final answer
    x = 62,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.