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Finding the Third Proportional to 6,960.38 and 14,604.19

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Solution

The third proportional to 6,960.38 and 14,604.19 is: 30,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.38 : 14,604.19 = 14,604.19 : x
  2. Step 2: Convert to fraction form
    6,960.38/14,604.19 = 14,604.19/x
  3. Step 3: Cross multiply
    6,960.38x = 14,604.19 × 14,604.19
  4. Step 4: Simplify right side
    6,960.38x = 213,282,292.54
  5. Step 5: Solve for x
    x = 213,282,292.54/6,960.38
  6. Step 6: Final answer
    x = 30,642.36

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Why These Related Problems?

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