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Finding the Third Proportional to 36,894 and 80,880

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Solution

The third proportional to 36,894 and 80,880 is: 177,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 80,880 = 80,880 : x
  2. Step 2: Convert to fraction form
    36,894/80,880 = 80,880/x
  3. Step 3: Cross multiply
    36,894x = 80,880 × 80,880
  4. Step 4: Simplify right side
    36,894x = 6,541,574,400
  5. Step 5: Solve for x
    x = 6,541,574,400/36,894
  6. Step 6: Final answer
    x = 177,307.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.