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Finding the Third Proportional to 26,756 and 56,500

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Solution

The third proportional to 26,756 and 56,500 is: 119,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,756 : 56,500 = 56,500 : x
  2. Step 2: Convert to fraction form
    26,756/56,500 = 56,500/x
  3. Step 3: Cross multiply
    26,756x = 56,500 × 56,500
  4. Step 4: Simplify right side
    26,756x = 3,192,250,000
  5. Step 5: Solve for x
    x = 3,192,250,000/26,756
  6. Step 6: Final answer
    x = 119,309.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.