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Finding the Third Proportional to 41,226 and 62,627

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Solution

The third proportional to 41,226 and 62,627 is: 95,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226 : 62,627 = 62,627 : x
  2. Step 2: Convert to fraction form
    41,226/62,627 = 62,627/x
  3. Step 3: Cross multiply
    41,226x = 62,627 × 62,627
  4. Step 4: Simplify right side
    41,226x = 3,922,141,129
  5. Step 5: Solve for x
    x = 3,922,141,129/41,226
  6. Step 6: Final answer
    x = 95,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.