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Finding the Third Proportional to 13,195 and 20,184

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Solution

The third proportional to 13,195 and 20,184 is: 30,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195 : 20,184 = 20,184 : x
  2. Step 2: Convert to fraction form
    13,195/20,184 = 20,184/x
  3. Step 3: Cross multiply
    13,195x = 20,184 × 20,184
  4. Step 4: Simplify right side
    13,195x = 407,393,856
  5. Step 5: Solve for x
    x = 407,393,856/13,195
  6. Step 6: Final answer
    x = 30,874.87

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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.