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Finding the Third Proportional to 8,186.91 and 16,717.50

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Solution

The third proportional to 8,186.91 and 16,717.50 is: 34,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.91 : 16,717.50 = 16,717.50 : x
  2. Step 2: Convert to fraction form
    8,186.91/16,717.50 = 16,717.50/x
  3. Step 3: Cross multiply
    8,186.91x = 16,717.50 × 16,717.50
  4. Step 4: Simplify right side
    8,186.91x = 279,474,806.25
  5. Step 5: Solve for x
    x = 279,474,806.25/8,186.91
  6. Step 6: Final answer
    x = 34,136.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.