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Finding the Third Proportional to 3,591.84 and 5,587.73

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Solution

The third proportional to 3,591.84 and 5,587.73 is: 8,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.84 : 5,587.73 = 5,587.73 : x
  2. Step 2: Convert to fraction form
    3,591.84/5,587.73 = 5,587.73/x
  3. Step 3: Cross multiply
    3,591.84x = 5,587.73 × 5,587.73
  4. Step 4: Simplify right side
    3,591.84x = 31,222,775.45
  5. Step 5: Solve for x
    x = 31,222,775.45/3,591.84
  6. Step 6: Final answer
    x = 8,692.69

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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.