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Finding the Third Proportional to 41,268 and 61,995

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Solution

The third proportional to 41,268 and 61,995 is: 93,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,268 : 61,995 = 61,995 : x
  2. Step 2: Convert to fraction form
    41,268/61,995 = 61,995/x
  3. Step 3: Cross multiply
    41,268x = 61,995 × 61,995
  4. Step 4: Simplify right side
    41,268x = 3,843,380,025
  5. Step 5: Solve for x
    x = 3,843,380,025/41,268
  6. Step 6: Final answer
    x = 93,132.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.