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Finding the Third Proportional to 41,296 and 65,627

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Solution

The third proportional to 41,296 and 65,627 is: 104,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,296 : 65,627 = 65,627 : x
  2. Step 2: Convert to fraction form
    41,296/65,627 = 65,627/x
  3. Step 3: Cross multiply
    41,296x = 65,627 × 65,627
  4. Step 4: Simplify right side
    41,296x = 4,306,903,129
  5. Step 5: Solve for x
    x = 4,306,903,129/41,296
  6. Step 6: Final answer
    x = 104,293.47

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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.