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Finding the Third Proportional to 2,914.31 and 6,679.97

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Solution

The third proportional to 2,914.31 and 6,679.97 is: 15,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.31 : 6,679.97 = 6,679.97 : x
  2. Step 2: Convert to fraction form
    2,914.31/6,679.97 = 6,679.97/x
  3. Step 3: Cross multiply
    2,914.31x = 6,679.97 × 6,679.97
  4. Step 4: Simplify right side
    2,914.31x = 44,621,982.50
  5. Step 5: Solve for x
    x = 44,621,982.50/2,914.31
  6. Step 6: Final answer
    x = 15,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.