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Finding the Third Proportional to 36,317 and 55,019

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Solution

The third proportional to 36,317 and 55,019 is: 83,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317 : 55,019 = 55,019 : x
  2. Step 2: Convert to fraction form
    36,317/55,019 = 55,019/x
  3. Step 3: Cross multiply
    36,317x = 55,019 × 55,019
  4. Step 4: Simplify right side
    36,317x = 3,027,090,361
  5. Step 5: Solve for x
    x = 3,027,090,361/36,317
  6. Step 6: Final answer
    x = 83,351.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.