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Finding the Third Proportional to 8,161.50 and 10,375.88

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Solution

The third proportional to 8,161.50 and 10,375.88 is: 13,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.50 : 10,375.88 = 10,375.88 : x
  2. Step 2: Convert to fraction form
    8,161.50/10,375.88 = 10,375.88/x
  3. Step 3: Cross multiply
    8,161.50x = 10,375.88 × 10,375.88
  4. Step 4: Simplify right side
    8,161.50x = 107,658,782.02
  5. Step 5: Solve for x
    x = 107,658,782.02/8,161.50
  6. Step 6: Final answer
    x = 13,191.05

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.