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Finding the Third Proportional to 41,976 and 65,517

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Solution

The third proportional to 41,976 and 65,517 is: 102,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,976 : 65,517 = 65,517 : x
  2. Step 2: Convert to fraction form
    41,976/65,517 = 65,517/x
  3. Step 3: Cross multiply
    41,976x = 65,517 × 65,517
  4. Step 4: Simplify right side
    41,976x = 4,292,477,289
  5. Step 5: Solve for x
    x = 4,292,477,289/41,976
  6. Step 6: Final answer
    x = 102,260.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.