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Finding the Third Proportional to 2,960.30 and 3,969.63

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Solution

The third proportional to 2,960.30 and 3,969.63 is: 5,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.30 : 3,969.63 = 3,969.63 : x
  2. Step 2: Convert to fraction form
    2,960.30/3,969.63 = 3,969.63/x
  3. Step 3: Cross multiply
    2,960.30x = 3,969.63 × 3,969.63
  4. Step 4: Simplify right side
    2,960.30x = 15,757,984.67
  5. Step 5: Solve for x
    x = 15,757,984.67/2,960.30
  6. Step 6: Final answer
    x = 5,323.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.