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Finding the Third Proportional to 2,584.41 and 3,953.39

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Solution

The third proportional to 2,584.41 and 3,953.39 is: 6,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.41 : 3,953.39 = 3,953.39 : x
  2. Step 2: Convert to fraction form
    2,584.41/3,953.39 = 3,953.39/x
  3. Step 3: Cross multiply
    2,584.41x = 3,953.39 × 3,953.39
  4. Step 4: Simplify right side
    2,584.41x = 15,629,297.43
  5. Step 5: Solve for x
    x = 15,629,297.43/2,584.41
  6. Step 6: Final answer
    x = 6,047.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.