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Finding the Third Proportional to 3,186.70 and 6,834.72

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Solution

The third proportional to 3,186.70 and 6,834.72 is: 14,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.70 : 6,834.72 = 6,834.72 : x
  2. Step 2: Convert to fraction form
    3,186.70/6,834.72 = 6,834.72/x
  3. Step 3: Cross multiply
    3,186.70x = 6,834.72 × 6,834.72
  4. Step 4: Simplify right side
    3,186.70x = 46,713,380.39
  5. Step 5: Solve for x
    x = 46,713,380.39/3,186.70
  6. Step 6: Final answer
    x = 14,658.84

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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.