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Finding the Third Proportional to 5,109.54 and 6,866.23

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Solution

The third proportional to 5,109.54 and 6,866.23 is: 9,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.54 : 6,866.23 = 6,866.23 : x
  2. Step 2: Convert to fraction form
    5,109.54/6,866.23 = 6,866.23/x
  3. Step 3: Cross multiply
    5,109.54x = 6,866.23 × 6,866.23
  4. Step 4: Simplify right side
    5,109.54x = 47,145,067.21
  5. Step 5: Solve for x
    x = 47,145,067.21/5,109.54
  6. Step 6: Final answer
    x = 9,226.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.