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Finding the Third Proportional to 26,611 and 56,467

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Solution

The third proportional to 26,611 and 56,467 is: 119,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,611 : 56,467 = 56,467 : x
  2. Step 2: Convert to fraction form
    26,611/56,467 = 56,467/x
  3. Step 3: Cross multiply
    26,611x = 56,467 × 56,467
  4. Step 4: Simplify right side
    26,611x = 3,188,522,089
  5. Step 5: Solve for x
    x = 3,188,522,089/26,611
  6. Step 6: Final answer
    x = 119,819.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.