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Finding the Third Proportional to 25,936 and 41,171

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Solution

The third proportional to 25,936 and 41,171 is: 65,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,936 : 41,171 = 41,171 : x
  2. Step 2: Convert to fraction form
    25,936/41,171 = 41,171/x
  3. Step 3: Cross multiply
    25,936x = 41,171 × 41,171
  4. Step 4: Simplify right side
    25,936x = 1,695,051,241
  5. Step 5: Solve for x
    x = 1,695,051,241/25,936
  6. Step 6: Final answer
    x = 65,355.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.