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Finding the Third Proportional to 36,600 and 54,660

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Solution

The third proportional to 36,600 and 54,660 is: 81,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,600 : 54,660 = 54,660 : x
  2. Step 2: Convert to fraction form
    36,600/54,660 = 54,660/x
  3. Step 3: Cross multiply
    36,600x = 54,660 × 54,660
  4. Step 4: Simplify right side
    36,600x = 2,987,715,600
  5. Step 5: Solve for x
    x = 2,987,715,600/36,600
  6. Step 6: Final answer
    x = 81,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.