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Finding the Third Proportional to 18,195 and 24,449.25

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Solution

The third proportional to 18,195 and 24,449.25 is: 32,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,195 : 24,449.25 = 24,449.25 : x
  2. Step 2: Convert to fraction form
    18,195/24,449.25 = 24,449.25/x
  3. Step 3: Cross multiply
    18,195x = 24,449.25 × 24,449.25
  4. Step 4: Simplify right side
    18,195x = 597,765,825.56
  5. Step 5: Solve for x
    x = 597,765,825.56/18,195
  6. Step 6: Final answer
    x = 32,853.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.