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Finding the Third Proportional to 30,771 and 66,941

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Solution

The third proportional to 30,771 and 66,941 is: 145,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771 : 66,941 = 66,941 : x
  2. Step 2: Convert to fraction form
    30,771/66,941 = 66,941/x
  3. Step 3: Cross multiply
    30,771x = 66,941 × 66,941
  4. Step 4: Simplify right side
    30,771x = 4,481,097,481
  5. Step 5: Solve for x
    x = 4,481,097,481/30,771
  6. Step 6: Final answer
    x = 145,627.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.