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Finding the Third Proportional to 28,529 and 37,861

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Solution

The third proportional to 28,529 and 37,861 is: 50,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,529 : 37,861 = 37,861 : x
  2. Step 2: Convert to fraction form
    28,529/37,861 = 37,861/x
  3. Step 3: Cross multiply
    28,529x = 37,861 × 37,861
  4. Step 4: Simplify right side
    28,529x = 1,433,455,321
  5. Step 5: Solve for x
    x = 1,433,455,321/28,529
  6. Step 6: Final answer
    x = 50,245.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.