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Finding the Third Proportional to 1,521.94 and 2,062.41

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Solution

The third proportional to 1,521.94 and 2,062.41 is: 2,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.94 : 2,062.41 = 2,062.41 : x
  2. Step 2: Convert to fraction form
    1,521.94/2,062.41 = 2,062.41/x
  3. Step 3: Cross multiply
    1,521.94x = 2,062.41 × 2,062.41
  4. Step 4: Simplify right side
    1,521.94x = 4,253,519.54
  5. Step 5: Solve for x
    x = 4,253,519.54/1,521.94
  6. Step 6: Final answer
    x = 2,794.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.