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Finding the Third Proportional to 8,176.50 and 17,661

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Solution

The third proportional to 8,176.50 and 17,661 is: 38,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 17,661 = 17,661 : x
  2. Step 2: Convert to fraction form
    8,176.50/17,661 = 17,661/x
  3. Step 3: Cross multiply
    8,176.50x = 17,661 × 17,661
  4. Step 4: Simplify right side
    8,176.50x = 311,910,921
  5. Step 5: Solve for x
    x = 311,910,921/8,176.50
  6. Step 6: Final answer
    x = 38,147.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.