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Finding the Third Proportional to 8,771.50 and 16,734.75

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Solution

The third proportional to 8,771.50 and 16,734.75 is: 31,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.50 : 16,734.75 = 16,734.75 : x
  2. Step 2: Convert to fraction form
    8,771.50/16,734.75 = 16,734.75/x
  3. Step 3: Cross multiply
    8,771.50x = 16,734.75 × 16,734.75
  4. Step 4: Simplify right side
    8,771.50x = 280,051,857.56
  5. Step 5: Solve for x
    x = 280,051,857.56/8,771.50
  6. Step 6: Final answer
    x = 31,927.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.