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Finding the Third Proportional to 36,660 and 54,858

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Solution

The third proportional to 36,660 and 54,858 is: 82,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,660 : 54,858 = 54,858 : x
  2. Step 2: Convert to fraction form
    36,660/54,858 = 54,858/x
  3. Step 3: Cross multiply
    36,660x = 54,858 × 54,858
  4. Step 4: Simplify right side
    36,660x = 3,009,400,164
  5. Step 5: Solve for x
    x = 3,009,400,164/36,660
  6. Step 6: Final answer
    x = 82,089.48

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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.