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Finding the Third Proportional to 37,716.75 and 80,910

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Solution

The third proportional to 37,716.75 and 80,910 is: 173,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716.75 : 80,910 = 80,910 : x
  2. Step 2: Convert to fraction form
    37,716.75/80,910 = 80,910/x
  3. Step 3: Cross multiply
    37,716.75x = 80,910 × 80,910
  4. Step 4: Simplify right side
    37,716.75x = 6,546,428,100
  5. Step 5: Solve for x
    x = 6,546,428,100/37,716.75
  6. Step 6: Final answer
    x = 173,568.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.