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Finding the Third Proportional to 4,247.44 and 6,231.94

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Solution

The third proportional to 4,247.44 and 6,231.94 is: 9,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.44 : 6,231.94 = 6,231.94 : x
  2. Step 2: Convert to fraction form
    4,247.44/6,231.94 = 6,231.94/x
  3. Step 3: Cross multiply
    4,247.44x = 6,231.94 × 6,231.94
  4. Step 4: Simplify right side
    4,247.44x = 38,837,045.00
  5. Step 5: Solve for x
    x = 38,837,045.00/4,247.44
  6. Step 6: Final answer
    x = 9,143.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.