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Finding the Third Proportional to 1,591.73 and 2,467.55

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Solution

The third proportional to 1,591.73 and 2,467.55 is: 3,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.73 : 2,467.55 = 2,467.55 : x
  2. Step 2: Convert to fraction form
    1,591.73/2,467.55 = 2,467.55/x
  3. Step 3: Cross multiply
    1,591.73x = 2,467.55 × 2,467.55
  4. Step 4: Simplify right side
    1,591.73x = 6,088,787.58
  5. Step 5: Solve for x
    x = 6,088,787.58/1,591.73
  6. Step 6: Final answer
    x = 3,825.25

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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.