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Finding the Third Proportional to 33,800 and 52,024

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Solution

The third proportional to 33,800 and 52,024 is: 80,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800 : 52,024 = 52,024 : x
  2. Step 2: Convert to fraction form
    33,800/52,024 = 52,024/x
  3. Step 3: Cross multiply
    33,800x = 52,024 × 52,024
  4. Step 4: Simplify right side
    33,800x = 2,706,496,576
  5. Step 5: Solve for x
    x = 2,706,496,576/33,800
  6. Step 6: Final answer
    x = 80,073.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.