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Finding the Third Proportional to 3,238.31 and 6,937.31

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Solution

The third proportional to 3,238.31 and 6,937.31 is: 14,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.31 : 6,937.31 = 6,937.31 : x
  2. Step 2: Convert to fraction form
    3,238.31/6,937.31 = 6,937.31/x
  3. Step 3: Cross multiply
    3,238.31x = 6,937.31 × 6,937.31
  4. Step 4: Simplify right side
    3,238.31x = 48,126,304.72
  5. Step 5: Solve for x
    x = 48,126,304.72/3,238.31
  6. Step 6: Final answer
    x = 14,861.54

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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.