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Finding the Third Proportional to 36,724 and 55,170

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Solution

The third proportional to 36,724 and 55,170 is: 82,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 55,170 = 55,170 : x
  2. Step 2: Convert to fraction form
    36,724/55,170 = 55,170/x
  3. Step 3: Cross multiply
    36,724x = 55,170 × 55,170
  4. Step 4: Simplify right side
    36,724x = 3,043,728,900
  5. Step 5: Solve for x
    x = 3,043,728,900/36,724
  6. Step 6: Final answer
    x = 82,881.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.