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Finding the Third Proportional to 33,464.50 and 51,817

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Solution

The third proportional to 33,464.50 and 51,817 is: 80,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.50 : 51,817 = 51,817 : x
  2. Step 2: Convert to fraction form
    33,464.50/51,817 = 51,817/x
  3. Step 3: Cross multiply
    33,464.50x = 51,817 × 51,817
  4. Step 4: Simplify right side
    33,464.50x = 2,685,001,489
  5. Step 5: Solve for x
    x = 2,685,001,489/33,464.50
  6. Step 6: Final answer
    x = 80,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.