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Finding the Third Proportional to 5,050.69 and 11,797.31

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Solution

The third proportional to 5,050.69 and 11,797.31 is: 27,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.69 : 11,797.31 = 11,797.31 : x
  2. Step 2: Convert to fraction form
    5,050.69/11,797.31 = 11,797.31/x
  3. Step 3: Cross multiply
    5,050.69x = 11,797.31 × 11,797.31
  4. Step 4: Simplify right side
    5,050.69x = 139,176,582.22
  5. Step 5: Solve for x
    x = 139,176,582.22/5,050.69
  6. Step 6: Final answer
    x = 27,555.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.