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Finding the Third Proportional to 9,549 and 18,591.75

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Solution

The third proportional to 9,549 and 18,591.75 is: 36,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 18,591.75 = 18,591.75 : x
  2. Step 2: Convert to fraction form
    9,549/18,591.75 = 18,591.75/x
  3. Step 3: Cross multiply
    9,549x = 18,591.75 × 18,591.75
  4. Step 4: Simplify right side
    9,549x = 345,653,168.06
  5. Step 5: Solve for x
    x = 345,653,168.06/9,549
  6. Step 6: Final answer
    x = 36,197.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.