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Finding the Third Proportional to 36,340 and 50,045

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Solution

The third proportional to 36,340 and 50,045 is: 68,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340 : 50,045 = 50,045 : x
  2. Step 2: Convert to fraction form
    36,340/50,045 = 50,045/x
  3. Step 3: Cross multiply
    36,340x = 50,045 × 50,045
  4. Step 4: Simplify right side
    36,340x = 2,504,502,025
  5. Step 5: Solve for x
    x = 2,504,502,025/36,340
  6. Step 6: Final answer
    x = 68,918.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.