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Finding the Third Proportional to 25,540 and 41,010

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Solution

The third proportional to 25,540 and 41,010 is: 65,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540 : 41,010 = 41,010 : x
  2. Step 2: Convert to fraction form
    25,540/41,010 = 41,010/x
  3. Step 3: Cross multiply
    25,540x = 41,010 × 41,010
  4. Step 4: Simplify right side
    25,540x = 1,681,820,100
  5. Step 5: Solve for x
    x = 1,681,820,100/25,540
  6. Step 6: Final answer
    x = 65,850.43

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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.