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Finding the Third Proportional to 18,089 and 27,653

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Solution

The third proportional to 18,089 and 27,653 is: 42,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,089 : 27,653 = 27,653 : x
  2. Step 2: Convert to fraction form
    18,089/27,653 = 27,653/x
  3. Step 3: Cross multiply
    18,089x = 27,653 × 27,653
  4. Step 4: Simplify right side
    18,089x = 764,688,409
  5. Step 5: Solve for x
    x = 764,688,409/18,089
  6. Step 6: Final answer
    x = 42,273.67

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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.