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Finding the Third Proportional to 26,418 and 55,029

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Solution

The third proportional to 26,418 and 55,029 is: 114,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,418 : 55,029 = 55,029 : x
  2. Step 2: Convert to fraction form
    26,418/55,029 = 55,029/x
  3. Step 3: Cross multiply
    26,418x = 55,029 × 55,029
  4. Step 4: Simplify right side
    26,418x = 3,028,190,841
  5. Step 5: Solve for x
    x = 3,028,190,841/26,418
  6. Step 6: Final answer
    x = 114,626.04

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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.