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Finding the Third Proportional to 26,066 and 55,822

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Solution

The third proportional to 26,066 and 55,822 is: 119,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066 : 55,822 = 55,822 : x
  2. Step 2: Convert to fraction form
    26,066/55,822 = 55,822/x
  3. Step 3: Cross multiply
    26,066x = 55,822 × 55,822
  4. Step 4: Simplify right side
    26,066x = 3,116,095,684
  5. Step 5: Solve for x
    x = 3,116,095,684/26,066
  6. Step 6: Final answer
    x = 119,546.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.