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Finding the Third Proportional to 3,134.11 and 6,677.86

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Solution

The third proportional to 3,134.11 and 6,677.86 is: 14,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.11 : 6,677.86 = 6,677.86 : x
  2. Step 2: Convert to fraction form
    3,134.11/6,677.86 = 6,677.86/x
  3. Step 3: Cross multiply
    3,134.11x = 6,677.86 × 6,677.86
  4. Step 4: Simplify right side
    3,134.11x = 44,593,805.83
  5. Step 5: Solve for x
    x = 44,593,805.83/3,134.11
  6. Step 6: Final answer
    x = 14,228.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.