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Finding the Third Proportional to 6,474.10 and 14,309.34

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Solution

The third proportional to 6,474.10 and 14,309.34 is: 31,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.10 : 14,309.34 = 14,309.34 : x
  2. Step 2: Convert to fraction form
    6,474.10/14,309.34 = 14,309.34/x
  3. Step 3: Cross multiply
    6,474.10x = 14,309.34 × 14,309.34
  4. Step 4: Simplify right side
    6,474.10x = 204,757,187.55
  5. Step 5: Solve for x
    x = 204,757,187.55/6,474.10
  6. Step 6: Final answer
    x = 31,627.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.