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Finding the Third Proportional to 1,594.41 and 2,479.78

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Solution

The third proportional to 1,594.41 and 2,479.78 is: 3,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.41 : 2,479.78 = 2,479.78 : x
  2. Step 2: Convert to fraction form
    1,594.41/2,479.78 = 2,479.78/x
  3. Step 3: Cross multiply
    1,594.41x = 2,479.78 × 2,479.78
  4. Step 4: Simplify right side
    1,594.41x = 6,149,315.05
  5. Step 5: Solve for x
    x = 6,149,315.05/1,594.41
  6. Step 6: Final answer
    x = 3,856.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.