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Finding the Third Proportional to 36,474 and 57,142.50

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Solution

The third proportional to 36,474 and 57,142.50 is: 89,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 57,142.50 = 57,142.50 : x
  2. Step 2: Convert to fraction form
    36,474/57,142.50 = 57,142.50/x
  3. Step 3: Cross multiply
    36,474x = 57,142.50 × 57,142.50
  4. Step 4: Simplify right side
    36,474x = 3,265,265,306.25
  5. Step 5: Solve for x
    x = 3,265,265,306.25/36,474
  6. Step 6: Final answer
    x = 89,523.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.