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Finding the Third Proportional to 18,100 and 27,014

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Solution

The third proportional to 18,100 and 27,014 is: 40,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100 : 27,014 = 27,014 : x
  2. Step 2: Convert to fraction form
    18,100/27,014 = 27,014/x
  3. Step 3: Cross multiply
    18,100x = 27,014 × 27,014
  4. Step 4: Simplify right side
    18,100x = 729,756,196
  5. Step 5: Solve for x
    x = 729,756,196/18,100
  6. Step 6: Final answer
    x = 40,318.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.