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Finding the Third Proportional to 36,915.75 and 80,007.75

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Solution

The third proportional to 36,915.75 and 80,007.75 is: 173,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,915.75 : 80,007.75 = 80,007.75 : x
  2. Step 2: Convert to fraction form
    36,915.75/80,007.75 = 80,007.75/x
  3. Step 3: Cross multiply
    36,915.75x = 80,007.75 × 80,007.75
  4. Step 4: Simplify right side
    36,915.75x = 6,401,240,060.06
  5. Step 5: Solve for x
    x = 6,401,240,060.06/36,915.75
  6. Step 6: Final answer
    x = 173,401.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.