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Finding the Third Proportional to 25,543 and 41,015

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Solution

The third proportional to 25,543 and 41,015 is: 65,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543 : 41,015 = 41,015 : x
  2. Step 2: Convert to fraction form
    25,543/41,015 = 41,015/x
  3. Step 3: Cross multiply
    25,543x = 41,015 × 41,015
  4. Step 4: Simplify right side
    25,543x = 1,682,230,225
  5. Step 5: Solve for x
    x = 1,682,230,225/25,543
  6. Step 6: Final answer
    x = 65,858.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.