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Finding the Third Proportional to 27,611 and 43,057

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Solution

The third proportional to 27,611 and 43,057 is: 67,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611 : 43,057 = 43,057 : x
  2. Step 2: Convert to fraction form
    27,611/43,057 = 43,057/x
  3. Step 3: Cross multiply
    27,611x = 43,057 × 43,057
  4. Step 4: Simplify right side
    27,611x = 1,853,905,249
  5. Step 5: Solve for x
    x = 1,853,905,249/27,611
  6. Step 6: Final answer
    x = 67,143.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.