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Finding the Third Proportional to 18,225 and 38,082

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Solution

The third proportional to 18,225 and 38,082 is: 79,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 38,082 = 38,082 : x
  2. Step 2: Convert to fraction form
    18,225/38,082 = 38,082/x
  3. Step 3: Cross multiply
    18,225x = 38,082 × 38,082
  4. Step 4: Simplify right side
    18,225x = 1,450,238,724
  5. Step 5: Solve for x
    x = 1,450,238,724/18,225
  6. Step 6: Final answer
    x = 79,574.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.