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Finding the Third Proportional to 4,521.94 and 7,028.44

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Solution

The third proportional to 4,521.94 and 7,028.44 is: 10,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.94 : 7,028.44 = 7,028.44 : x
  2. Step 2: Convert to fraction form
    4,521.94/7,028.44 = 7,028.44/x
  3. Step 3: Cross multiply
    4,521.94x = 7,028.44 × 7,028.44
  4. Step 4: Simplify right side
    4,521.94x = 49,398,933.69
  5. Step 5: Solve for x
    x = 49,398,933.69/4,521.94
  6. Step 6: Final answer
    x = 10,924.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.