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Finding the Third Proportional to 3,186.84 and 6,760.13

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Solution

The third proportional to 3,186.84 and 6,760.13 is: 14,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.84 : 6,760.13 = 6,760.13 : x
  2. Step 2: Convert to fraction form
    3,186.84/6,760.13 = 6,760.13/x
  3. Step 3: Cross multiply
    3,186.84x = 6,760.13 × 6,760.13
  4. Step 4: Simplify right side
    3,186.84x = 45,699,290.02
  5. Step 5: Solve for x
    x = 45,699,290.02/3,186.84
  6. Step 6: Final answer
    x = 14,339.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.