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Finding the Third Proportional to 4,540.88 and 6,815.91

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Solution

The third proportional to 4,540.88 and 6,815.91 is: 10,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.88 : 6,815.91 = 6,815.91 : x
  2. Step 2: Convert to fraction form
    4,540.88/6,815.91 = 6,815.91/x
  3. Step 3: Cross multiply
    4,540.88x = 6,815.91 × 6,815.91
  4. Step 4: Simplify right side
    4,540.88x = 46,456,578.01
  5. Step 5: Solve for x
    x = 46,456,578.01/4,540.88
  6. Step 6: Final answer
    x = 10,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.