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Finding the Third Proportional to 4,769.44 and 7,296.47

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Solution

The third proportional to 4,769.44 and 7,296.47 is: 11,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.44 : 7,296.47 = 7,296.47 : x
  2. Step 2: Convert to fraction form
    4,769.44/7,296.47 = 7,296.47/x
  3. Step 3: Cross multiply
    4,769.44x = 7,296.47 × 7,296.47
  4. Step 4: Simplify right side
    4,769.44x = 53,238,456.22
  5. Step 5: Solve for x
    x = 53,238,456.22/4,769.44
  6. Step 6: Final answer
    x = 11,162.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.