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Finding the Third Proportional to 6,960.75 and 14,604.94

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Solution

The third proportional to 6,960.75 and 14,604.94 is: 30,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.75 : 14,604.94 = 14,604.94 : x
  2. Step 2: Convert to fraction form
    6,960.75/14,604.94 = 14,604.94/x
  3. Step 3: Cross multiply
    6,960.75x = 14,604.94 × 14,604.94
  4. Step 4: Simplify right side
    6,960.75x = 213,304,199.38
  5. Step 5: Solve for x
    x = 213,304,199.38/6,960.75
  6. Step 6: Final answer
    x = 30,643.85

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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.