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Finding the Third Proportional to 3,234.28 and 6,954.56

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Solution

The third proportional to 3,234.28 and 6,954.56 is: 14,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.28 : 6,954.56 = 6,954.56 : x
  2. Step 2: Convert to fraction form
    3,234.28/6,954.56 = 6,954.56/x
  3. Step 3: Cross multiply
    3,234.28x = 6,954.56 × 6,954.56
  4. Step 4: Simplify right side
    3,234.28x = 48,365,939.57
  5. Step 5: Solve for x
    x = 48,365,939.57/3,234.28
  6. Step 6: Final answer
    x = 14,954.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.