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Finding the Third Proportional to 36,744 and 55,035

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Solution

The third proportional to 36,744 and 55,035 is: 82,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744 : 55,035 = 55,035 : x
  2. Step 2: Convert to fraction form
    36,744/55,035 = 55,035/x
  3. Step 3: Cross multiply
    36,744x = 55,035 × 55,035
  4. Step 4: Simplify right side
    36,744x = 3,028,851,225
  5. Step 5: Solve for x
    x = 3,028,851,225/36,744
  6. Step 6: Final answer
    x = 82,431.18

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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.