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Finding the Third Proportional to 26,022 and 55,896

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Solution

The third proportional to 26,022 and 55,896 is: 120,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 55,896 = 55,896 : x
  2. Step 2: Convert to fraction form
    26,022/55,896 = 55,896/x
  3. Step 3: Cross multiply
    26,022x = 55,896 × 55,896
  4. Step 4: Simplify right side
    26,022x = 3,124,362,816
  5. Step 5: Solve for x
    x = 3,124,362,816/26,022
  6. Step 6: Final answer
    x = 120,066.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.