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Finding the Third Proportional to 26,039 and 55,350

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Solution

The third proportional to 26,039 and 55,350 is: 117,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,039 : 55,350 = 55,350 : x
  2. Step 2: Convert to fraction form
    26,039/55,350 = 55,350/x
  3. Step 3: Cross multiply
    26,039x = 55,350 × 55,350
  4. Step 4: Simplify right side
    26,039x = 3,063,622,500
  5. Step 5: Solve for x
    x = 3,063,622,500/26,039
  6. Step 6: Final answer
    x = 117,655.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.