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Finding the Third Proportional to 36,573 and 78,694.50

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Solution

The third proportional to 36,573 and 78,694.50 is: 169,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,573 : 78,694.50 = 78,694.50 : x
  2. Step 2: Convert to fraction form
    36,573/78,694.50 = 78,694.50/x
  3. Step 3: Cross multiply
    36,573x = 78,694.50 × 78,694.50
  4. Step 4: Simplify right side
    36,573x = 6,192,824,330.25
  5. Step 5: Solve for x
    x = 6,192,824,330.25/36,573
  6. Step 6: Final answer
    x = 169,327.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.