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Finding the Third Proportional to 36,169.50 and 56,325

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Solution

The third proportional to 36,169.50 and 56,325 is: 87,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169.50 : 56,325 = 56,325 : x
  2. Step 2: Convert to fraction form
    36,169.50/56,325 = 56,325/x
  3. Step 3: Cross multiply
    36,169.50x = 56,325 × 56,325
  4. Step 4: Simplify right side
    36,169.50x = 3,172,505,625
  5. Step 5: Solve for x
    x = 3,172,505,625/36,169.50
  6. Step 6: Final answer
    x = 87,712.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.