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Finding the Third Proportional to 4,960.38 and 6,736.72

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Solution

The third proportional to 4,960.38 and 6,736.72 is: 9,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.38 : 6,736.72 = 6,736.72 : x
  2. Step 2: Convert to fraction form
    4,960.38/6,736.72 = 6,736.72/x
  3. Step 3: Cross multiply
    4,960.38x = 6,736.72 × 6,736.72
  4. Step 4: Simplify right side
    4,960.38x = 45,383,379.52
  5. Step 5: Solve for x
    x = 45,383,379.52/4,960.38
  6. Step 6: Final answer
    x = 9,149.18

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1.5x scale

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.