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Finding the Third Proportional to 26,452 and 36,022

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Solution

The third proportional to 26,452 and 36,022 is: 49,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452 : 36,022 = 36,022 : x
  2. Step 2: Convert to fraction form
    26,452/36,022 = 36,022/x
  3. Step 3: Cross multiply
    26,452x = 36,022 × 36,022
  4. Step 4: Simplify right side
    26,452x = 1,297,584,484
  5. Step 5: Solve for x
    x = 1,297,584,484/26,452
  6. Step 6: Final answer
    x = 49,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.