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Finding the Third Proportional to 4,960.13 and 6,736.44

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Solution

The third proportional to 4,960.13 and 6,736.44 is: 9,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.13 : 6,736.44 = 6,736.44 : x
  2. Step 2: Convert to fraction form
    4,960.13/6,736.44 = 6,736.44/x
  3. Step 3: Cross multiply
    4,960.13x = 6,736.44 × 6,736.44
  4. Step 4: Simplify right side
    4,960.13x = 45,379,590.19
  5. Step 5: Solve for x
    x = 45,379,590.19/4,960.13
  6. Step 6: Final answer
    x = 9,148.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.