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Finding the Third Proportional to 33,816 and 50,724

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Solution

The third proportional to 33,816 and 50,724 is: 76,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 50,724 = 50,724 : x
  2. Step 2: Convert to fraction form
    33,816/50,724 = 50,724/x
  3. Step 3: Cross multiply
    33,816x = 50,724 × 50,724
  4. Step 4: Simplify right side
    33,816x = 2,572,924,176
  5. Step 5: Solve for x
    x = 2,572,924,176/33,816
  6. Step 6: Final answer
    x = 76,086

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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.