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Finding the Third Proportional to 26,446 and 55,084

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Solution

The third proportional to 26,446 and 55,084 is: 114,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 55,084 = 55,084 : x
  2. Step 2: Convert to fraction form
    26,446/55,084 = 55,084/x
  3. Step 3: Cross multiply
    26,446x = 55,084 × 55,084
  4. Step 4: Simplify right side
    26,446x = 3,034,247,056
  5. Step 5: Solve for x
    x = 3,034,247,056/26,446
  6. Step 6: Final answer
    x = 114,733.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.