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Finding the Third Proportional to 13,974 and 30,171

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Solution

The third proportional to 13,974 and 30,171 is: 65,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 30,171 = 30,171 : x
  2. Step 2: Convert to fraction form
    13,974/30,171 = 30,171/x
  3. Step 3: Cross multiply
    13,974x = 30,171 × 30,171
  4. Step 4: Simplify right side
    13,974x = 910,289,241
  5. Step 5: Solve for x
    x = 910,289,241/13,974
  6. Step 6: Final answer
    x = 65,141.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.