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Finding the Third Proportional to 4,785.33 and 7,279.24

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Solution

The third proportional to 4,785.33 and 7,279.24 is: 11,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.33 : 7,279.24 = 7,279.24 : x
  2. Step 2: Convert to fraction form
    4,785.33/7,279.24 = 7,279.24/x
  3. Step 3: Cross multiply
    4,785.33x = 7,279.24 × 7,279.24
  4. Step 4: Simplify right side
    4,785.33x = 52,987,366.82
  5. Step 5: Solve for x
    x = 52,987,366.82/4,785.33
  6. Step 6: Final answer
    x = 11,072.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.