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Finding the Third Proportional to 18,171 and 27,135

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Solution

The third proportional to 18,171 and 27,135 is: 40,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171 : 27,135 = 27,135 : x
  2. Step 2: Convert to fraction form
    18,171/27,135 = 27,135/x
  3. Step 3: Cross multiply
    18,171x = 27,135 × 27,135
  4. Step 4: Simplify right side
    18,171x = 736,308,225
  5. Step 5: Solve for x
    x = 736,308,225/18,171
  6. Step 6: Final answer
    x = 40,521.06

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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.