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Finding the Third Proportional to 36,300 and 54,450

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Solution

The third proportional to 36,300 and 54,450 is: 81,675

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,300 : 54,450 = 54,450 : x
  2. Step 2: Convert to fraction form
    36,300/54,450 = 54,450/x
  3. Step 3: Cross multiply
    36,300x = 54,450 × 54,450
  4. Step 4: Simplify right side
    36,300x = 2,964,802,500
  5. Step 5: Solve for x
    x = 2,964,802,500/36,300
  6. Step 6: Final answer
    x = 81,675

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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.