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Finding the Third Proportional to 6,960.63 and 14,604.75

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Solution

The third proportional to 6,960.63 and 14,604.75 is: 30,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.63 : 14,604.75 = 14,604.75 : x
  2. Step 2: Convert to fraction form
    6,960.63/14,604.75 = 14,604.75/x
  3. Step 3: Cross multiply
    6,960.63x = 14,604.75 × 14,604.75
  4. Step 4: Simplify right side
    6,960.63x = 213,298,722.56
  5. Step 5: Solve for x
    x = 213,298,722.56/6,960.63
  6. Step 6: Final answer
    x = 30,643.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.