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Finding the Third Proportional to 3,834.84 and 8,206.31

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Solution

The third proportional to 3,834.84 and 8,206.31 is: 17,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 8,206.31 = 8,206.31 : x
  2. Step 2: Convert to fraction form
    3,834.84/8,206.31 = 8,206.31/x
  3. Step 3: Cross multiply
    3,834.84x = 8,206.31 × 8,206.31
  4. Step 4: Simplify right side
    3,834.84x = 67,343,564.85
  5. Step 5: Solve for x
    x = 67,343,564.85/3,834.84
  6. Step 6: Final answer
    x = 17,560.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.