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Finding the Third Proportional to 36,024 and 54,533

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Solution

The third proportional to 36,024 and 54,533 is: 82,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024 : 54,533 = 54,533 : x
  2. Step 2: Convert to fraction form
    36,024/54,533 = 54,533/x
  3. Step 3: Cross multiply
    36,024x = 54,533 × 54,533
  4. Step 4: Simplify right side
    36,024x = 2,973,848,089
  5. Step 5: Solve for x
    x = 2,973,848,089/36,024
  6. Step 6: Final answer
    x = 82,551.86

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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.